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Finding the Fourth Proportional to 7,034.04, 9,702.18 and 4,515.12

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Solution

The fourth proportional to 7,034.04, 9,702.18 and 4,515.12 is: 6,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.04 : 9,702.18 = 4,515.12 : x
  2. Step 2: Convert to fraction form
    7,034.04/9,702.18 = 4,515.12/x
  3. Step 3: Cross multiply
    7,034.04x = 9,702.18 × 4,515.12
  4. Step 4: Simplify right side
    7,034.04x = 43,806,506.96
  5. Step 5: Solve for x
    x = 43,806,506.96/7,034.04
  6. Step 6: Final answer
    x = 6,227.79

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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.