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Finding the Fourth Proportional to 12,002.44, 16,562.58 and 7,526

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Solution

The fourth proportional to 12,002.44, 16,562.58 and 7,526 is: 10,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.44 : 16,562.58 = 7,526 : x
  2. Step 2: Convert to fraction form
    12,002.44/16,562.58 = 7,526/x
  3. Step 3: Cross multiply
    12,002.44x = 16,562.58 × 7,526
  4. Step 4: Simplify right side
    12,002.44x = 124,649,977.08
  5. Step 5: Solve for x
    x = 124,649,977.08/12,002.44
  6. Step 6: Final answer
    x = 10,385.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.