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Finding the Fourth Proportional to 6,969.92, 10,454.91 and 2,356.16

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Solution

The fourth proportional to 6,969.92, 10,454.91 and 2,356.16 is: 3,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.92 : 10,454.91 = 2,356.16 : x
  2. Step 2: Convert to fraction form
    6,969.92/10,454.91 = 2,356.16/x
  3. Step 3: Cross multiply
    6,969.92x = 10,454.91 × 2,356.16
  4. Step 4: Simplify right side
    6,969.92x = 24,633,440.75
  5. Step 5: Solve for x
    x = 24,633,440.75/6,969.92
  6. Step 6: Final answer
    x = 3,534.25

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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.