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Finding the Fourth Proportional to 9,532.64, 13,160.88 and 7,551.20

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Solution

The fourth proportional to 9,532.64, 13,160.88 and 7,551.20 is: 10,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.64 : 13,160.88 = 7,551.20 : x
  2. Step 2: Convert to fraction form
    9,532.64/13,160.88 = 7,551.20/x
  3. Step 3: Cross multiply
    9,532.64x = 13,160.88 × 7,551.20
  4. Step 4: Simplify right side
    9,532.64x = 99,380,437.06
  5. Step 5: Solve for x
    x = 99,380,437.06/9,532.64
  6. Step 6: Final answer
    x = 10,425.28

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Half scale
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Double scale
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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.