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Finding the Fourth Proportional to 11,897.60, 17,827.20 and 7,507.20

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Solution

The fourth proportional to 11,897.60, 17,827.20 and 7,507.20 is: 11,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.60 : 17,827.20 = 7,507.20 : x
  2. Step 2: Convert to fraction form
    11,897.60/17,827.20 = 7,507.20/x
  3. Step 3: Cross multiply
    11,897.60x = 17,827.20 × 7,507.20
  4. Step 4: Simplify right side
    11,897.60x = 133,832,355.84
  5. Step 5: Solve for x
    x = 133,832,355.84/11,897.60
  6. Step 6: Final answer
    x = 11,248.69

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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.