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Finding the Fourth Proportional to 15,406.58, 21,251.48 and 9,114.50

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Solution

The fourth proportional to 15,406.58, 21,251.48 and 9,114.50 is: 12,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.58 : 21,251.48 = 9,114.50 : x
  2. Step 2: Convert to fraction form
    15,406.58/21,251.48 = 9,114.50/x
  3. Step 3: Cross multiply
    15,406.58x = 21,251.48 × 9,114.50
  4. Step 4: Simplify right side
    15,406.58x = 193,696,614.46
  5. Step 5: Solve for x
    x = 193,696,614.46/15,406.58
  6. Step 6: Final answer
    x = 12,572.33

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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.