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Finding the Fourth Proportional to 7,111.19, 9,813.08 and 3,966.77

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Solution

The fourth proportional to 7,111.19, 9,813.08 and 3,966.77 is: 5,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.19 : 9,813.08 = 3,966.77 : x
  2. Step 2: Convert to fraction form
    7,111.19/9,813.08 = 3,966.77/x
  3. Step 3: Cross multiply
    7,111.19x = 9,813.08 × 3,966.77
  4. Step 4: Simplify right side
    7,111.19x = 38,926,182.29
  5. Step 5: Solve for x
    x = 38,926,182.29/7,111.19
  6. Step 6: Final answer
    x = 5,473.94

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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.