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Finding the Fourth Proportional to 6,707.80, 10,013.09 and 6,270.40

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Solution

The fourth proportional to 6,707.80, 10,013.09 and 6,270.40 is: 9,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.80 : 10,013.09 = 6,270.40 : x
  2. Step 2: Convert to fraction form
    6,707.80/10,013.09 = 6,270.40/x
  3. Step 3: Cross multiply
    6,707.80x = 10,013.09 × 6,270.40
  4. Step 4: Simplify right side
    6,707.80x = 62,786,079.54
  5. Step 5: Solve for x
    x = 62,786,079.54/6,707.80
  6. Step 6: Final answer
    x = 9,360.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.