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Finding the Fourth Proportional to 9,934.02, 14,901.01 and 2,538.48

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Solution

The fourth proportional to 9,934.02, 14,901.01 and 2,538.48 is: 3,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.02 : 14,901.01 = 2,538.48 : x
  2. Step 2: Convert to fraction form
    9,934.02/14,901.01 = 2,538.48/x
  3. Step 3: Cross multiply
    9,934.02x = 14,901.01 × 2,538.48
  4. Step 4: Simplify right side
    9,934.02x = 37,825,828.67
  5. Step 5: Solve for x
    x = 37,825,828.67/9,934.02
  6. Step 6: Final answer
    x = 3,807.71

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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.