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Finding the Fourth Proportional to 24,577.80, 36,866.70 and 7,046.60

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Solution

The fourth proportional to 24,577.80, 36,866.70 and 7,046.60 is: 10,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.80 : 36,866.70 = 7,046.60 : x
  2. Step 2: Convert to fraction form
    24,577.80/36,866.70 = 7,046.60/x
  3. Step 3: Cross multiply
    24,577.80x = 36,866.70 × 7,046.60
  4. Step 4: Simplify right side
    24,577.80x = 259,784,888.22
  5. Step 5: Solve for x
    x = 259,784,888.22/24,577.80
  6. Step 6: Final answer
    x = 10,569.90

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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.