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Finding the Fourth Proportional to 10,758.16, 14,832.36 and 6,974.68

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Solution

The fourth proportional to 10,758.16, 14,832.36 and 6,974.68 is: 9,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.16 : 14,832.36 = 6,974.68 : x
  2. Step 2: Convert to fraction form
    10,758.16/14,832.36 = 6,974.68/x
  3. Step 3: Cross multiply
    10,758.16x = 14,832.36 × 6,974.68
  4. Step 4: Simplify right side
    10,758.16x = 103,450,964.64
  5. Step 5: Solve for x
    x = 103,450,964.64/10,758.16
  6. Step 6: Final answer
    x = 9,616.05

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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.