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Finding the Fourth Proportional to 6,276.75, 8,662.16 and 3,444.23

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Solution

The fourth proportional to 6,276.75, 8,662.16 and 3,444.23 is: 4,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.75 : 8,662.16 = 3,444.23 : x
  2. Step 2: Convert to fraction form
    6,276.75/8,662.16 = 3,444.23/x
  3. Step 3: Cross multiply
    6,276.75x = 8,662.16 × 3,444.23
  4. Step 4: Simplify right side
    6,276.75x = 29,834,471.34
  5. Step 5: Solve for x
    x = 29,834,471.34/6,276.75
  6. Step 6: Final answer
    x = 4,753.17

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Half scale
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Double scale
Find fourth proportional to 6,277.75, 8,663.54 and 3,445.23
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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.