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Finding the Fourth Proportional to 7,866.12, 10,854.54 and 4,329.48

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Solution

The fourth proportional to 7,866.12, 10,854.54 and 4,329.48 is: 5,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.12 : 10,854.54 = 4,329.48 : x
  2. Step 2: Convert to fraction form
    7,866.12/10,854.54 = 4,329.48/x
  3. Step 3: Cross multiply
    7,866.12x = 10,854.54 × 4,329.48
  4. Step 4: Simplify right side
    7,866.12x = 46,994,513.84
  5. Step 5: Solve for x
    x = 46,994,513.84/7,866.12
  6. Step 6: Final answer
    x = 5,974.29

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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.