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Finding the Fourth Proportional to 6,209.40, 8,563.50 and 4,868.76

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Solution

The fourth proportional to 6,209.40, 8,563.50 and 4,868.76 is: 6,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.40 : 8,563.50 = 4,868.76 : x
  2. Step 2: Convert to fraction form
    6,209.40/8,563.50 = 4,868.76/x
  3. Step 3: Cross multiply
    6,209.40x = 8,563.50 × 4,868.76
  4. Step 4: Simplify right side
    6,209.40x = 41,693,626.26
  5. Step 5: Solve for x
    x = 41,693,626.26/6,209.40
  6. Step 6: Final answer
    x = 6,714.60

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Half scale
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Double 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.