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Finding the Fourth Proportional to 11,397.60, 17,098.80 and 4,820.40

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Solution

The fourth proportional to 11,397.60, 17,098.80 and 4,820.40 is: 7,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.60 : 17,098.80 = 4,820.40 : x
  2. Step 2: Convert to fraction form
    11,397.60/17,098.80 = 4,820.40/x
  3. Step 3: Cross multiply
    11,397.60x = 17,098.80 × 4,820.40
  4. Step 4: Simplify right side
    11,397.60x = 82,423,055.52
  5. Step 5: Solve for x
    x = 82,423,055.52/11,397.60
  6. Step 6: Final answer
    x = 7,231.62

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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.