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Finding the Fourth Proportional to 6,963.12, 9,614.16 and 5,569.92

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Solution

The fourth proportional to 6,963.12, 9,614.16 and 5,569.92 is: 7,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.12 : 9,614.16 = 5,569.92 : x
  2. Step 2: Convert to fraction form
    6,963.12/9,614.16 = 5,569.92/x
  3. Step 3: Cross multiply
    6,963.12x = 9,614.16 × 5,569.92
  4. Step 4: Simplify right side
    6,963.12x = 53,550,102.07
  5. Step 5: Solve for x
    x = 53,550,102.07/6,963.12
  6. Step 6: Final answer
    x = 7,690.53

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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.