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Finding the Fourth Proportional to 6,098.79, 9,148.80 and 1,656.53

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Solution

The fourth proportional to 6,098.79, 9,148.80 and 1,656.53 is: 2,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.79 : 9,148.80 = 1,656.53 : x
  2. Step 2: Convert to fraction form
    6,098.79/9,148.80 = 1,656.53/x
  3. Step 3: Cross multiply
    6,098.79x = 9,148.80 × 1,656.53
  4. Step 4: Simplify right side
    6,098.79x = 15,155,207.64
  5. Step 5: Solve for x
    x = 15,155,207.64/6,098.79
  6. Step 6: Final answer
    x = 2,484.95

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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.