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Finding the Fourth Proportional to 10,393.74, 14,343.75 and 5,678.06

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Solution

The fourth proportional to 10,393.74, 14,343.75 and 5,678.06 is: 7,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.74 : 14,343.75 = 5,678.06 : x
  2. Step 2: Convert to fraction form
    10,393.74/14,343.75 = 5,678.06/x
  3. Step 3: Cross multiply
    10,393.74x = 14,343.75 × 5,678.06
  4. Step 4: Simplify right side
    10,393.74x = 81,444,601.41
  5. Step 5: Solve for x
    x = 81,444,601.41/10,393.74
  6. Step 6: Final answer
    x = 7,835.93

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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.