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Finding the Fourth Proportional to 7,034.40, 9,708.71 and 5,353.11

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Solution

The fourth proportional to 7,034.40, 9,708.71 and 5,353.11 is: 7,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.40 : 9,708.71 = 5,353.11 : x
  2. Step 2: Convert to fraction form
    7,034.40/9,708.71 = 5,353.11/x
  3. Step 3: Cross multiply
    7,034.40x = 9,708.71 × 5,353.11
  4. Step 4: Simplify right side
    7,034.40x = 51,971,765.82
  5. Step 5: Solve for x
    x = 51,971,765.82/7,034.40
  6. Step 6: Final answer
    x = 7,388.23

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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.