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Finding the Fourth Proportional to 7,298.70, 10,070.48 and 5,414.64

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Solution

The fourth proportional to 7,298.70, 10,070.48 and 5,414.64 is: 7,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.70 : 10,070.48 = 5,414.64 : x
  2. Step 2: Convert to fraction form
    7,298.70/10,070.48 = 5,414.64/x
  3. Step 3: Cross multiply
    7,298.70x = 10,070.48 × 5,414.64
  4. Step 4: Simplify right side
    7,298.70x = 54,528,023.83
  5. Step 5: Solve for x
    x = 54,528,023.83/7,298.70
  6. Step 6: Final answer
    x = 7,470.92

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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.