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Finding the Fourth Proportional to 9,600.84, 14,372.10 and 9,280.08

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Solution

The fourth proportional to 9,600.84, 14,372.10 and 9,280.08 is: 13,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.84 : 14,372.10 = 9,280.08 : x
  2. Step 2: Convert to fraction form
    9,600.84/14,372.10 = 9,280.08/x
  3. Step 3: Cross multiply
    9,600.84x = 14,372.10 × 9,280.08
  4. Step 4: Simplify right side
    9,600.84x = 133,374,237.77
  5. Step 5: Solve for x
    x = 133,374,237.77/9,600.84
  6. Step 6: Final answer
    x = 13,891.93

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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.