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Finding the Fourth Proportional to 9,575.64, 14,363.28 and 6,752.88

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Solution

The fourth proportional to 9,575.64, 14,363.28 and 6,752.88 is: 10,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.64 : 14,363.28 = 6,752.88 : x
  2. Step 2: Convert to fraction form
    9,575.64/14,363.28 = 6,752.88/x
  3. Step 3: Cross multiply
    9,575.64x = 14,363.28 × 6,752.88
  4. Step 4: Simplify right side
    9,575.64x = 96,993,506.25
  5. Step 5: Solve for x
    x = 96,993,506.25/9,575.64
  6. Step 6: Final answer
    x = 10,129.19

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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.