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Finding the Fourth Proportional to 7,017.71, 9,684.43 and 4,033.46

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Solution

The fourth proportional to 7,017.71, 9,684.43 and 4,033.46 is: 5,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.71 : 9,684.43 = 4,033.46 : x
  2. Step 2: Convert to fraction form
    7,017.71/9,684.43 = 4,033.46/x
  3. Step 3: Cross multiply
    7,017.71x = 9,684.43 × 4,033.46
  4. Step 4: Simplify right side
    7,017.71x = 39,061,775.16
  5. Step 5: Solve for x
    x = 39,061,775.16/7,017.71
  6. Step 6: Final answer
    x = 5,566.18

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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.