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Finding the Fourth Proportional to 9,758.12, 13,473.97 and 9,011.81

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Solution

The fourth proportional to 9,758.12, 13,473.97 and 9,011.81 is: 12,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.12 : 13,473.97 = 9,011.81 : x
  2. Step 2: Convert to fraction form
    9,758.12/13,473.97 = 9,011.81/x
  3. Step 3: Cross multiply
    9,758.12x = 13,473.97 × 9,011.81
  4. Step 4: Simplify right side
    9,758.12x = 121,424,818.30
  5. Step 5: Solve for x
    x = 121,424,818.30/9,758.12
  6. Step 6: Final answer
    x = 12,443.46

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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.