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Finding the Fourth Proportional to 11,024.32, 15,206.16 and 6,834.64

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Solution

The fourth proportional to 11,024.32, 15,206.16 and 6,834.64 is: 9,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.32 : 15,206.16 = 6,834.64 : x
  2. Step 2: Convert to fraction form
    11,024.32/15,206.16 = 6,834.64/x
  3. Step 3: Cross multiply
    11,024.32x = 15,206.16 × 6,834.64
  4. Step 4: Simplify right side
    11,024.32x = 103,928,629.38
  5. Step 5: Solve for x
    x = 103,928,629.38/11,024.32
  6. Step 6: Final answer
    x = 9,427.21

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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.