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Finding the Fourth Proportional to 10,564.80, 15,814.80 and 9,981.60

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Solution

The fourth proportional to 10,564.80, 15,814.80 and 9,981.60 is: 14,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.80 : 15,814.80 = 9,981.60 : x
  2. Step 2: Convert to fraction form
    10,564.80/15,814.80 = 9,981.60/x
  3. Step 3: Cross multiply
    10,564.80x = 15,814.80 × 9,981.60
  4. Step 4: Simplify right side
    10,564.80x = 157,857,007.68
  5. Step 5: Solve for x
    x = 157,857,007.68/10,564.80
  6. Step 6: Final answer
    x = 14,941.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.