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Finding the Fourth Proportional to 9,576.64, 14,364.78 and 6,753.88

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Solution

The fourth proportional to 9,576.64, 14,364.78 and 6,753.88 is: 10,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.64 : 14,364.78 = 6,753.88 : x
  2. Step 2: Convert to fraction form
    9,576.64/14,364.78 = 6,753.88/x
  3. Step 3: Cross multiply
    9,576.64x = 14,364.78 × 6,753.88
  4. Step 4: Simplify right side
    9,576.64x = 97,018,000.35
  5. Step 5: Solve for x
    x = 97,018,000.35/9,576.64
  6. Step 6: Final answer
    x = 10,130.69

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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.