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Finding the Fourth Proportional to 5,513, 8,267.88 and 1,616.48

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Solution

The fourth proportional to 5,513, 8,267.88 and 1,616.48 is: 2,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513 : 8,267.88 = 1,616.48 : x
  2. Step 2: Convert to fraction form
    5,513/8,267.88 = 1,616.48/x
  3. Step 3: Cross multiply
    5,513x = 8,267.88 × 1,616.48
  4. Step 4: Simplify right side
    5,513x = 13,364,862.66
  5. Step 5: Solve for x
    x = 13,364,862.66/5,513
  6. Step 6: Final answer
    x = 2,424.24

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.