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Finding the Fourth Proportional to 5,584.98, 7,702.56 and 4,070.46

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Solution

The fourth proportional to 5,584.98, 7,702.56 and 4,070.46 is: 5,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.98 : 7,702.56 = 4,070.46 : x
  2. Step 2: Convert to fraction form
    5,584.98/7,702.56 = 4,070.46/x
  3. Step 3: Cross multiply
    5,584.98x = 7,702.56 × 4,070.46
  4. Step 4: Simplify right side
    5,584.98x = 31,352,962.38
  5. Step 5: Solve for x
    x = 31,352,962.38/5,584.98
  6. Step 6: Final answer
    x = 5,613.80

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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.