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Finding the Fourth Proportional to 7,050.26, 9,742.19 and 6,708.64

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Solution

The fourth proportional to 7,050.26, 9,742.19 and 6,708.64 is: 9,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.26 : 9,742.19 = 6,708.64 : x
  2. Step 2: Convert to fraction form
    7,050.26/9,742.19 = 6,708.64/x
  3. Step 3: Cross multiply
    7,050.26x = 9,742.19 × 6,708.64
  4. Step 4: Simplify right side
    7,050.26x = 65,356,787.62
  5. Step 5: Solve for x
    x = 65,356,787.62/7,050.26
  6. Step 6: Final answer
    x = 9,270.13

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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.