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Finding the Fourth Proportional to 9,098.71, 13,648.07 and 5,200.39

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Solution

The fourth proportional to 9,098.71, 13,648.07 and 5,200.39 is: 7,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.71 : 13,648.07 = 5,200.39 : x
  2. Step 2: Convert to fraction form
    9,098.71/13,648.07 = 5,200.39/x
  3. Step 3: Cross multiply
    9,098.71x = 13,648.07 × 5,200.39
  4. Step 4: Simplify right side
    9,098.71x = 70,975,210.79
  5. Step 5: Solve for x
    x = 70,975,210.79/9,098.71
  6. Step 6: Final answer
    x = 7,800.58

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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.