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Finding the Fourth Proportional to 5,706.60, 8,559.90 and 5,439.30

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Solution

The fourth proportional to 5,706.60, 8,559.90 and 5,439.30 is: 8,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.60 : 8,559.90 = 5,439.30 : x
  2. Step 2: Convert to fraction form
    5,706.60/8,559.90 = 5,439.30/x
  3. Step 3: Cross multiply
    5,706.60x = 8,559.90 × 5,439.30
  4. Step 4: Simplify right side
    5,706.60x = 46,559,864.07
  5. Step 5: Solve for x
    x = 46,559,864.07/5,706.60
  6. Step 6: Final answer
    x = 8,158.95

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Half scale
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Double 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.