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Finding the Fourth Proportional to 9,707.60, 14,561.40 and 6,033.20

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Solution

The fourth proportional to 9,707.60, 14,561.40 and 6,033.20 is: 9,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.60 : 14,561.40 = 6,033.20 : x
  2. Step 2: Convert to fraction form
    9,707.60/14,561.40 = 6,033.20/x
  3. Step 3: Cross multiply
    9,707.60x = 14,561.40 × 6,033.20
  4. Step 4: Simplify right side
    9,707.60x = 87,851,838.48
  5. Step 5: Solve for x
    x = 87,851,838.48/9,707.60
  6. Step 6: Final answer
    x = 9,049.80

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Similar ratio
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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.