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Finding the Fourth Proportional to 9,932.66, 13,710.98 and 5,953.01

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Solution

The fourth proportional to 9,932.66, 13,710.98 and 5,953.01 is: 8,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.66 : 13,710.98 = 5,953.01 : x
  2. Step 2: Convert to fraction form
    9,932.66/13,710.98 = 5,953.01/x
  3. Step 3: Cross multiply
    9,932.66x = 13,710.98 × 5,953.01
  4. Step 4: Simplify right side
    9,932.66x = 81,621,502.73
  5. Step 5: Solve for x
    x = 81,621,502.73/9,932.66
  6. Step 6: Final answer
    x = 8,217.49

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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.