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Finding the Fourth Proportional to 9,763.52, 14,642.76 and 6,967.04

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Solution

The fourth proportional to 9,763.52, 14,642.76 and 6,967.04 is: 10,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.52 : 14,642.76 = 6,967.04 : x
  2. Step 2: Convert to fraction form
    9,763.52/14,642.76 = 6,967.04/x
  3. Step 3: Cross multiply
    9,763.52x = 14,642.76 × 6,967.04
  4. Step 4: Simplify right side
    9,763.52x = 102,016,694.63
  5. Step 5: Solve for x
    x = 102,016,694.63/9,763.52
  6. Step 6: Final answer
    x = 10,448.76

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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.