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Finding the Fourth Proportional to 8,261, 11,400.18 and 4,535.24

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Solution

The fourth proportional to 8,261, 11,400.18 and 4,535.24 is: 6,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261 : 11,400.18 = 4,535.24 : x
  2. Step 2: Convert to fraction form
    8,261/11,400.18 = 4,535.24/x
  3. Step 3: Cross multiply
    8,261x = 11,400.18 × 4,535.24
  4. Step 4: Simplify right side
    8,261x = 51,702,552.34
  5. Step 5: Solve for x
    x = 51,702,552.34/8,261
  6. Step 6: Final answer
    x = 6,258.63

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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.