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Finding the Fourth Proportional to 9,156.80, 13,702.32 and 7,928.40

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Solution

The fourth proportional to 9,156.80, 13,702.32 and 7,928.40 is: 11,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.80 : 13,702.32 = 7,928.40 : x
  2. Step 2: Convert to fraction form
    9,156.80/13,702.32 = 7,928.40/x
  3. Step 3: Cross multiply
    9,156.80x = 13,702.32 × 7,928.40
  4. Step 4: Simplify right side
    9,156.80x = 108,637,473.89
  5. Step 5: Solve for x
    x = 108,637,473.89/9,156.80
  6. Step 6: Final answer
    x = 11,864.13

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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.