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Finding the Fourth Proportional to 8,903.50, 12,278.70 and 7,644.15

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Solution

The fourth proportional to 8,903.50, 12,278.70 and 7,644.15 is: 10,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903.50 : 12,278.70 = 7,644.15 : x
  2. Step 2: Convert to fraction form
    8,903.50/12,278.70 = 7,644.15/x
  3. Step 3: Cross multiply
    8,903.50x = 12,278.70 × 7,644.15
  4. Step 4: Simplify right side
    8,903.50x = 93,860,224.61
  5. Step 5: Solve for x
    x = 93,860,224.61/8,903.50
  6. Step 6: Final answer
    x = 10,541.95

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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.