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Finding the Fourth Proportional to 5,695.70, 8,543.55 and 5,258.30

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Solution

The fourth proportional to 5,695.70, 8,543.55 and 5,258.30 is: 7,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.70 : 8,543.55 = 5,258.30 : x
  2. Step 2: Convert to fraction form
    5,695.70/8,543.55 = 5,258.30/x
  3. Step 3: Cross multiply
    5,695.70x = 8,543.55 × 5,258.30
  4. Step 4: Simplify right side
    5,695.70x = 44,924,548.97
  5. Step 5: Solve for x
    x = 44,924,548.97/5,695.70
  6. Step 6: Final answer
    x = 7,887.45

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Half scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.