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Finding the Fourth Proportional to 10,098.80, 15,148.20 and 6,205.40

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Solution

The fourth proportional to 10,098.80, 15,148.20 and 6,205.40 is: 9,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.80 : 15,148.20 = 6,205.40 : x
  2. Step 2: Convert to fraction form
    10,098.80/15,148.20 = 6,205.40/x
  3. Step 3: Cross multiply
    10,098.80x = 15,148.20 × 6,205.40
  4. Step 4: Simplify right side
    10,098.80x = 94,000,640.28
  5. Step 5: Solve for x
    x = 94,000,640.28/10,098.80
  6. Step 6: Final answer
    x = 9,308.10

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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.