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Finding the Fourth Proportional to 7,832.56, 10,808.98 and 4,688.76

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Solution

The fourth proportional to 7,832.56, 10,808.98 and 4,688.76 is: 6,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.56 : 10,808.98 = 4,688.76 : x
  2. Step 2: Convert to fraction form
    7,832.56/10,808.98 = 4,688.76/x
  3. Step 3: Cross multiply
    7,832.56x = 10,808.98 × 4,688.76
  4. Step 4: Simplify right side
    7,832.56x = 50,680,713.06
  5. Step 5: Solve for x
    x = 50,680,713.06/7,832.56
  6. Step 6: Final answer
    x = 6,470.52

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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.