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Finding the Fourth Proportional to 9,616.10, 13,267.95 and 5,423.54

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Solution

The fourth proportional to 9,616.10, 13,267.95 and 5,423.54 is: 7,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.10 : 13,267.95 = 5,423.54 : x
  2. Step 2: Convert to fraction form
    9,616.10/13,267.95 = 5,423.54/x
  3. Step 3: Cross multiply
    9,616.10x = 13,267.95 × 5,423.54
  4. Step 4: Simplify right side
    9,616.10x = 71,959,257.54
  5. Step 5: Solve for x
    x = 71,959,257.54/9,616.10
  6. Step 6: Final answer
    x = 7,483.21

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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.