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Finding the Fourth Proportional to 6,963.04, 9,602.56 and 6,460.04

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Solution

The fourth proportional to 6,963.04, 9,602.56 and 6,460.04 is: 8,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.04 : 9,602.56 = 6,460.04 : x
  2. Step 2: Convert to fraction form
    6,963.04/9,602.56 = 6,460.04/x
  3. Step 3: Cross multiply
    6,963.04x = 9,602.56 × 6,460.04
  4. Step 4: Simplify right side
    6,963.04x = 62,032,921.70
  5. Step 5: Solve for x
    x = 62,032,921.70/6,963.04
  6. Step 6: Final answer
    x = 8,908.88

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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.