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Finding the Fourth Proportional to 15,480.87, 21,363.64 and 8,407.14

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Solution

The fourth proportional to 15,480.87, 21,363.64 and 8,407.14 is: 11,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,480.87 : 21,363.64 = 8,407.14 : x
  2. Step 2: Convert to fraction form
    15,480.87/21,363.64 = 8,407.14/x
  3. Step 3: Cross multiply
    15,480.87x = 21,363.64 × 8,407.14
  4. Step 4: Simplify right side
    15,480.87x = 179,607,011.26
  5. Step 5: Solve for x
    x = 179,607,011.26/15,480.87
  6. Step 6: Final answer
    x = 11,601.87

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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.