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Finding the Fourth Proportional to 10,646.31, 14,691.38 and 5,931.03

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Solution

The fourth proportional to 10,646.31, 14,691.38 and 5,931.03 is: 8,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.31 : 14,691.38 = 5,931.03 : x
  2. Step 2: Convert to fraction form
    10,646.31/14,691.38 = 5,931.03/x
  3. Step 3: Cross multiply
    10,646.31x = 14,691.38 × 5,931.03
  4. Step 4: Simplify right side
    10,646.31x = 87,134,985.87
  5. Step 5: Solve for x
    x = 87,134,985.87/10,646.31
  6. Step 6: Final answer
    x = 8,184.52

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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.