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Finding the Fourth Proportional to 6,302.81, 8,697.76 and 3,946.25

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Solution

The fourth proportional to 6,302.81, 8,697.76 and 3,946.25 is: 5,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.81 : 8,697.76 = 3,946.25 : x
  2. Step 2: Convert to fraction form
    6,302.81/8,697.76 = 3,946.25/x
  3. Step 3: Cross multiply
    6,302.81x = 8,697.76 × 3,946.25
  4. Step 4: Simplify right side
    6,302.81x = 34,323,515.67
  5. Step 5: Solve for x
    x = 34,323,515.67/6,302.81
  6. Step 6: Final answer
    x = 5,445.75

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.