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Finding the Fourth Proportional to 9,155.04, 12,634 and 4,963.28

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Solution

The fourth proportional to 9,155.04, 12,634 and 4,963.28 is: 6,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.04 : 12,634 = 4,963.28 : x
  2. Step 2: Convert to fraction form
    9,155.04/12,634 = 4,963.28/x
  3. Step 3: Cross multiply
    9,155.04x = 12,634 × 4,963.28
  4. Step 4: Simplify right side
    9,155.04x = 62,706,079.52
  5. Step 5: Solve for x
    x = 62,706,079.52/9,155.04
  6. Step 6: Final answer
    x = 6,849.35

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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.