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Finding the Fourth Proportional to 7,074.09, 9,764.64 and 4,091.13

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Solution

The fourth proportional to 7,074.09, 9,764.64 and 4,091.13 is: 5,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.09 : 9,764.64 = 4,091.13 : x
  2. Step 2: Convert to fraction form
    7,074.09/9,764.64 = 4,091.13/x
  3. Step 3: Cross multiply
    7,074.09x = 9,764.64 × 4,091.13
  4. Step 4: Simplify right side
    7,074.09x = 39,948,411.64
  5. Step 5: Solve for x
    x = 39,948,411.64/7,074.09
  6. Step 6: Final answer
    x = 5,647.14

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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.