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Finding the Fourth Proportional to 9,232.32, 12,754.08 and 7,988.16

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Solution

The fourth proportional to 9,232.32, 12,754.08 and 7,988.16 is: 11,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.32 : 12,754.08 = 7,988.16 : x
  2. Step 2: Convert to fraction form
    9,232.32/12,754.08 = 7,988.16/x
  3. Step 3: Cross multiply
    9,232.32x = 12,754.08 × 7,988.16
  4. Step 4: Simplify right side
    9,232.32x = 101,881,631.69
  5. Step 5: Solve for x
    x = 101,881,631.69/9,232.32
  6. Step 6: Final answer
    x = 11,035.32

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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.