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Finding the Fourth Proportional to 6,865.13, 9,448.34 and 5,660.48

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Solution

The fourth proportional to 6,865.13, 9,448.34 and 5,660.48 is: 7,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.13 : 9,448.34 = 5,660.48 : x
  2. Step 2: Convert to fraction form
    6,865.13/9,448.34 = 5,660.48/x
  3. Step 3: Cross multiply
    6,865.13x = 9,448.34 × 5,660.48
  4. Step 4: Simplify right side
    6,865.13x = 53,482,064.06
  5. Step 5: Solve for x
    x = 53,482,064.06/6,865.13
  6. Step 6: Final answer
    x = 7,790.40

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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.