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Finding the Fourth Proportional to 10,244.86, 15,360 and 6,074.98

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Solution

The fourth proportional to 10,244.86, 15,360 and 6,074.98 is: 9,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.86 : 15,360 = 6,074.98 : x
  2. Step 2: Convert to fraction form
    10,244.86/15,360 = 6,074.98/x
  3. Step 3: Cross multiply
    10,244.86x = 15,360 × 6,074.98
  4. Step 4: Simplify right side
    10,244.86x = 93,311,692.80
  5. Step 5: Solve for x
    x = 93,311,692.80/10,244.86
  6. Step 6: Final answer
    x = 9,108.15

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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.