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Finding the Fourth Proportional to 9,646.80, 14,470.20 and 5,272.80

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Solution

The fourth proportional to 9,646.80, 14,470.20 and 5,272.80 is: 7,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.80 : 14,470.20 = 5,272.80 : x
  2. Step 2: Convert to fraction form
    9,646.80/14,470.20 = 5,272.80/x
  3. Step 3: Cross multiply
    9,646.80x = 14,470.20 × 5,272.80
  4. Step 4: Simplify right side
    9,646.80x = 76,298,470.56
  5. Step 5: Solve for x
    x = 76,298,470.56/9,646.80
  6. Step 6: Final answer
    x = 7,909.20

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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.