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Finding the Fourth Proportional to 9,261.62, 13,922.53 and 7,432.77

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Solution

The fourth proportional to 9,261.62, 13,922.53 and 7,432.77 is: 11,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.62 : 13,922.53 = 7,432.77 : x
  2. Step 2: Convert to fraction form
    9,261.62/13,922.53 = 7,432.77/x
  3. Step 3: Cross multiply
    9,261.62x = 13,922.53 × 7,432.77
  4. Step 4: Simplify right side
    9,261.62x = 103,482,963.31
  5. Step 5: Solve for x
    x = 103,482,963.31/9,261.62
  6. Step 6: Final answer
    x = 11,173.32

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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.