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Finding the Fourth Proportional to 10,393.61, 14,343.54 and 5,678.19

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Solution

The fourth proportional to 10,393.61, 14,343.54 and 5,678.19 is: 7,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.61 : 14,343.54 = 5,678.19 : x
  2. Step 2: Convert to fraction form
    10,393.61/14,343.54 = 5,678.19/x
  3. Step 3: Cross multiply
    10,393.61x = 14,343.54 × 5,678.19
  4. Step 4: Simplify right side
    10,393.61x = 81,445,345.39
  5. Step 5: Solve for x
    x = 81,445,345.39/10,393.61
  6. Step 6: Final answer
    x = 7,836.10

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Half scale
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Double scale
Find fourth proportional to 10,394.61, 14,344.92 and 5,679.19
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.