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Finding the Fourth Proportional to 6,098.67, 9,148.61 and 1,656.40

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Solution

The fourth proportional to 6,098.67, 9,148.61 and 1,656.40 is: 2,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.67 : 9,148.61 = 1,656.40 : x
  2. Step 2: Convert to fraction form
    6,098.67/9,148.61 = 1,656.40/x
  3. Step 3: Cross multiply
    6,098.67x = 9,148.61 × 1,656.40
  4. Step 4: Simplify right side
    6,098.67x = 15,153,766.97
  5. Step 5: Solve for x
    x = 15,153,766.97/6,098.67
  6. Step 6: Final answer
    x = 2,484.77

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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.