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Finding the Fourth Proportional to 7,133.76, 9,829.92 and 6,424.20

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Solution

The fourth proportional to 7,133.76, 9,829.92 and 6,424.20 is: 8,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.76 : 9,829.92 = 6,424.20 : x
  2. Step 2: Convert to fraction form
    7,133.76/9,829.92 = 6,424.20/x
  3. Step 3: Cross multiply
    7,133.76x = 9,829.92 × 6,424.20
  4. Step 4: Simplify right side
    7,133.76x = 63,149,372.06
  5. Step 5: Solve for x
    x = 63,149,372.06/7,133.76
  6. Step 6: Final answer
    x = 8,852.19

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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.