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Finding the Fourth Proportional to 6,753.76, 9,316.64 and 5,496.22

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Solution

The fourth proportional to 6,753.76, 9,316.64 and 5,496.22 is: 7,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.76 : 9,316.64 = 5,496.22 : x
  2. Step 2: Convert to fraction form
    6,753.76/9,316.64 = 5,496.22/x
  3. Step 3: Cross multiply
    6,753.76x = 9,316.64 × 5,496.22
  4. Step 4: Simplify right side
    6,753.76x = 51,206,303.10
  5. Step 5: Solve for x
    x = 51,206,303.10/6,753.76
  6. Step 6: Final answer
    x = 7,581.90

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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.