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Finding the Fourth Proportional to 9,092.70, 12,547.70 and 5,948.82

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Solution

The fourth proportional to 9,092.70, 12,547.70 and 5,948.82 is: 8,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.70 : 12,547.70 = 5,948.82 : x
  2. Step 2: Convert to fraction form
    9,092.70/12,547.70 = 5,948.82/x
  3. Step 3: Cross multiply
    9,092.70x = 12,547.70 × 5,948.82
  4. Step 4: Simplify right side
    9,092.70x = 74,644,008.71
  5. Step 5: Solve for x
    x = 74,644,008.71/9,092.70
  6. Step 6: Final answer
    x = 8,209.22

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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.