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Finding the Fourth Proportional to 9,773.40, 13,488.84 and 7,272.12

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Solution

The fourth proportional to 9,773.40, 13,488.84 and 7,272.12 is: 10,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.40 : 13,488.84 = 7,272.12 : x
  2. Step 2: Convert to fraction form
    9,773.40/13,488.84 = 7,272.12/x
  3. Step 3: Cross multiply
    9,773.40x = 13,488.84 × 7,272.12
  4. Step 4: Simplify right side
    9,773.40x = 98,092,463.14
  5. Step 5: Solve for x
    x = 98,092,463.14/9,773.40
  6. Step 6: Final answer
    x = 10,036.68

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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.