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Finding the Fourth Proportional to 11,637, 16,059.36 and 6,332.16

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Solution

The fourth proportional to 11,637, 16,059.36 and 6,332.16 is: 8,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637 : 16,059.36 = 6,332.16 : x
  2. Step 2: Convert to fraction form
    11,637/16,059.36 = 6,332.16/x
  3. Step 3: Cross multiply
    11,637x = 16,059.36 × 6,332.16
  4. Step 4: Simplify right side
    11,637x = 101,690,437.02
  5. Step 5: Solve for x
    x = 101,690,437.02/11,637
  6. Step 6: Final answer
    x = 8,738.54

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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.