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Finding the Fourth Proportional to 7,470.82, 10,358.05 and 7,023.70

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Solution

The fourth proportional to 7,470.82, 10,358.05 and 7,023.70 is: 9,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.82 : 10,358.05 = 7,023.70 : x
  2. Step 2: Convert to fraction form
    7,470.82/10,358.05 = 7,023.70/x
  3. Step 3: Cross multiply
    7,470.82x = 10,358.05 × 7,023.70
  4. Step 4: Simplify right side
    7,470.82x = 72,751,835.79
  5. Step 5: Solve for x
    x = 72,751,835.79/7,470.82
  6. Step 6: Final answer
    x = 9,738.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.