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Finding the Fourth Proportional to 7,034.40, 9,709.20 and 4,240.80

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Solution

The fourth proportional to 7,034.40, 9,709.20 and 4,240.80 is: 5,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.40 : 9,709.20 = 4,240.80 : x
  2. Step 2: Convert to fraction form
    7,034.40/9,709.20 = 4,240.80/x
  3. Step 3: Cross multiply
    7,034.40x = 9,709.20 × 4,240.80
  4. Step 4: Simplify right side
    7,034.40x = 41,174,775.36
  5. Step 5: Solve for x
    x = 41,174,775.36/7,034.40
  6. Step 6: Final answer
    x = 5,853.35

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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.