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Finding the Fourth Proportional to 10,295.74, 15,442.17 and 3,275.74

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Solution

The fourth proportional to 10,295.74, 15,442.17 and 3,275.74 is: 4,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.74 : 15,442.17 = 3,275.74 : x
  2. Step 2: Convert to fraction form
    10,295.74/15,442.17 = 3,275.74/x
  3. Step 3: Cross multiply
    10,295.74x = 15,442.17 × 3,275.74
  4. Step 4: Simplify right side
    10,295.74x = 50,584,533.96
  5. Step 5: Solve for x
    x = 50,584,533.96/10,295.74
  6. Step 6: Final answer
    x = 4,913.15

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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.