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Finding the Fourth Proportional to 8,963.96, 12,368.46 and 5,237.24

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Solution

The fourth proportional to 8,963.96, 12,368.46 and 5,237.24 is: 7,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.96 : 12,368.46 = 5,237.24 : x
  2. Step 2: Convert to fraction form
    8,963.96/12,368.46 = 5,237.24/x
  3. Step 3: Cross multiply
    8,963.96x = 12,368.46 × 5,237.24
  4. Step 4: Simplify right side
    8,963.96x = 64,776,593.45
  5. Step 5: Solve for x
    x = 64,776,593.45/8,963.96
  6. Step 6: Final answer
    x = 7,226.34

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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.