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Finding the Fourth Proportional to 10,497.47, 14,484.96 and 5,959.44

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Solution

The fourth proportional to 10,497.47, 14,484.96 and 5,959.44 is: 8,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.47 : 14,484.96 = 5,959.44 : x
  2. Step 2: Convert to fraction form
    10,497.47/14,484.96 = 5,959.44/x
  3. Step 3: Cross multiply
    10,497.47x = 14,484.96 × 5,959.44
  4. Step 4: Simplify right side
    10,497.47x = 86,322,250.02
  5. Step 5: Solve for x
    x = 86,322,250.02/10,497.47
  6. Step 6: Final answer
    x = 8,223.15

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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.