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Finding the Fourth Proportional to 6,568.68, 9,064.26 and 4,210.50

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Solution

The fourth proportional to 6,568.68, 9,064.26 and 4,210.50 is: 5,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.68 : 9,064.26 = 4,210.50 : x
  2. Step 2: Convert to fraction form
    6,568.68/9,064.26 = 4,210.50/x
  3. Step 3: Cross multiply
    6,568.68x = 9,064.26 × 4,210.50
  4. Step 4: Simplify right side
    6,568.68x = 38,165,066.73
  5. Step 5: Solve for x
    x = 38,165,066.73/6,568.68
  6. Step 6: Final answer
    x = 5,810.16

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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.