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Finding the Fourth Proportional to 7,663.66, 10,576.10 and 4,307.12

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Solution

The fourth proportional to 7,663.66, 10,576.10 and 4,307.12 is: 5,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.66 : 10,576.10 = 4,307.12 : x
  2. Step 2: Convert to fraction form
    7,663.66/10,576.10 = 4,307.12/x
  3. Step 3: Cross multiply
    7,663.66x = 10,576.10 × 4,307.12
  4. Step 4: Simplify right side
    7,663.66x = 45,552,531.83
  5. Step 5: Solve for x
    x = 45,552,531.83/7,663.66
  6. Step 6: Final answer
    x = 5,943.97

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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.