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Finding the Fourth Proportional to 6,354.91, 9,581.12 and 5,926.16

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Solution

The fourth proportional to 6,354.91, 9,581.12 and 5,926.16 is: 8,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.91 : 9,581.12 = 5,926.16 : x
  2. Step 2: Convert to fraction form
    6,354.91/9,581.12 = 5,926.16/x
  3. Step 3: Cross multiply
    6,354.91x = 9,581.12 × 5,926.16
  4. Step 4: Simplify right side
    6,354.91x = 56,779,187.38
  5. Step 5: Solve for x
    x = 56,779,187.38/6,354.91
  6. Step 6: Final answer
    x = 8,934.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.