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Finding the Fourth Proportional to 9,482.97, 14,223.51 and 6,862.89

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Solution

The fourth proportional to 9,482.97, 14,223.51 and 6,862.89 is: 10,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.97 : 14,223.51 = 6,862.89 : x
  2. Step 2: Convert to fraction form
    9,482.97/14,223.51 = 6,862.89/x
  3. Step 3: Cross multiply
    9,482.97x = 14,223.51 × 6,862.89
  4. Step 4: Simplify right side
    9,482.97x = 97,614,384.54
  5. Step 5: Solve for x
    x = 97,614,384.54/9,482.97
  6. Step 6: Final answer
    x = 10,293.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.