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Finding the Fourth Proportional to 6,568.04, 9,062.88 and 3,773

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Solution

The fourth proportional to 6,568.04, 9,062.88 and 3,773 is: 5,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.04 : 9,062.88 = 3,773 : x
  2. Step 2: Convert to fraction form
    6,568.04/9,062.88 = 3,773/x
  3. Step 3: Cross multiply
    6,568.04x = 9,062.88 × 3,773
  4. Step 4: Simplify right side
    6,568.04x = 34,194,246.24
  5. Step 5: Solve for x
    x = 34,194,246.24/6,568.04
  6. Step 6: Final answer
    x = 5,206.16

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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.