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Finding the Fourth Proportional to 8,162.76, 11,264.68 and 4,436.76

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Solution

The fourth proportional to 8,162.76, 11,264.68 and 4,436.76 is: 6,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.76 : 11,264.68 = 4,436.76 : x
  2. Step 2: Convert to fraction form
    8,162.76/11,264.68 = 4,436.76/x
  3. Step 3: Cross multiply
    8,162.76x = 11,264.68 × 4,436.76
  4. Step 4: Simplify right side
    8,162.76x = 49,978,681.64
  5. Step 5: Solve for x
    x = 49,978,681.64/8,162.76
  6. Step 6: Final answer
    x = 6,122.77

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Half scale
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Double scale
Find fourth proportional to 8,163.76, 11,266.06 and 4,437.76
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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.