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Finding the Fourth Proportional to 12,098.70, 18,101.43 and 7,417.71

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Solution

The fourth proportional to 12,098.70, 18,101.43 and 7,417.71 is: 11,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.70 : 18,101.43 = 7,417.71 : x
  2. Step 2: Convert to fraction form
    12,098.70/18,101.43 = 7,417.71/x
  3. Step 3: Cross multiply
    12,098.70x = 18,101.43 × 7,417.71
  4. Step 4: Simplify right side
    12,098.70x = 134,271,158.33
  5. Step 5: Solve for x
    x = 134,271,158.33/12,098.70
  6. Step 6: Final answer
    x = 11,097.98

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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.