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Finding the Fourth Proportional to 9,646.80, 14,470.20 and 9,109.20

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Solution

The fourth proportional to 9,646.80, 14,470.20 and 9,109.20 is: 13,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.80 : 14,470.20 = 9,109.20 : x
  2. Step 2: Convert to fraction form
    9,646.80/14,470.20 = 9,109.20/x
  3. Step 3: Cross multiply
    9,646.80x = 14,470.20 × 9,109.20
  4. Step 4: Simplify right side
    9,646.80x = 131,811,945.84
  5. Step 5: Solve for x
    x = 131,811,945.84/9,646.80
  6. Step 6: Final answer
    x = 13,663.80

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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.