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Finding the Fourth Proportional to 7,854.68, 11,782.14 and 2,011.16

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Solution

The fourth proportional to 7,854.68, 11,782.14 and 2,011.16 is: 3,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.68 : 11,782.14 = 2,011.16 : x
  2. Step 2: Convert to fraction form
    7,854.68/11,782.14 = 2,011.16/x
  3. Step 3: Cross multiply
    7,854.68x = 11,782.14 × 2,011.16
  4. Step 4: Simplify right side
    7,854.68x = 23,695,768.68
  5. Step 5: Solve for x
    x = 23,695,768.68/7,854.68
  6. Step 6: Final answer
    x = 3,016.77

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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.