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Finding the Fourth Proportional to 12,005.60, 18,008.40 and 7,642.40

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Solution

The fourth proportional to 12,005.60, 18,008.40 and 7,642.40 is: 11,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.60 : 18,008.40 = 7,642.40 : x
  2. Step 2: Convert to fraction form
    12,005.60/18,008.40 = 7,642.40/x
  3. Step 3: Cross multiply
    12,005.60x = 18,008.40 × 7,642.40
  4. Step 4: Simplify right side
    12,005.60x = 137,627,396.16
  5. Step 5: Solve for x
    x = 137,627,396.16/12,005.60
  6. Step 6: Final answer
    x = 11,463.60

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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.