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Finding the Fourth Proportional to 10,494.47, 15,664.93 and 9,248.95

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Solution

The fourth proportional to 10,494.47, 15,664.93 and 9,248.95 is: 13,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.47 : 15,664.93 = 9,248.95 : x
  2. Step 2: Convert to fraction form
    10,494.47/15,664.93 = 9,248.95/x
  3. Step 3: Cross multiply
    10,494.47x = 15,664.93 × 9,248.95
  4. Step 4: Simplify right side
    10,494.47x = 144,884,092.04
  5. Step 5: Solve for x
    x = 144,884,092.04/10,494.47
  6. Step 6: Final answer
    x = 13,805.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.