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Finding the Fourth Proportional to 7,656.75, 10,567.13 and 4,862.25

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Solution

The fourth proportional to 7,656.75, 10,567.13 and 4,862.25 is: 6,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.75 : 10,567.13 = 4,862.25 : x
  2. Step 2: Convert to fraction form
    7,656.75/10,567.13 = 4,862.25/x
  3. Step 3: Cross multiply
    7,656.75x = 10,567.13 × 4,862.25
  4. Step 4: Simplify right side
    7,656.75x = 51,380,003.53
  5. Step 5: Solve for x
    x = 51,380,003.53/7,656.75
  6. Step 6: Final answer
    x = 6,710.42

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Half scale
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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.