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Finding the Fourth Proportional to 24,713.69, 37,075.98 and 7,184.89

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Solution

The fourth proportional to 24,713.69, 37,075.98 and 7,184.89 is: 10,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.69 : 37,075.98 = 7,184.89 : x
  2. Step 2: Convert to fraction form
    24,713.69/37,075.98 = 7,184.89/x
  3. Step 3: Cross multiply
    24,713.69x = 37,075.98 × 7,184.89
  4. Step 4: Simplify right side
    24,713.69x = 266,386,652.56
  5. Step 5: Solve for x
    x = 266,386,652.56/24,713.69
  6. Step 6: Final answer
    x = 10,778.91

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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.