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Finding the Fourth Proportional to 10,487.61, 15,664.07 and 9,498.33

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Solution

The fourth proportional to 10,487.61, 15,664.07 and 9,498.33 is: 14,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.61 : 15,664.07 = 9,498.33 : x
  2. Step 2: Convert to fraction form
    10,487.61/15,664.07 = 9,498.33/x
  3. Step 3: Cross multiply
    10,487.61x = 15,664.07 × 9,498.33
  4. Step 4: Simplify right side
    10,487.61x = 148,782,529.75
  5. Step 5: Solve for x
    x = 148,782,529.75/10,487.61
  6. Step 6: Final answer
    x = 14,186.50

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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.