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Finding the Fourth Proportional to 9,743.20, 14,614.80 and 9,023.20

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Solution

The fourth proportional to 9,743.20, 14,614.80 and 9,023.20 is: 13,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.20 : 14,614.80 = 9,023.20 : x
  2. Step 2: Convert to fraction form
    9,743.20/14,614.80 = 9,023.20/x
  3. Step 3: Cross multiply
    9,743.20x = 14,614.80 × 9,023.20
  4. Step 4: Simplify right side
    9,743.20x = 131,872,263.36
  5. Step 5: Solve for x
    x = 131,872,263.36/9,743.20
  6. Step 6: Final answer
    x = 13,534.80

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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.