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Finding the Fourth Proportional to 6,871.69, 9,477.08 and 5,282.19

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Solution

The fourth proportional to 6,871.69, 9,477.08 and 5,282.19 is: 7,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.69 : 9,477.08 = 5,282.19 : x
  2. Step 2: Convert to fraction form
    6,871.69/9,477.08 = 5,282.19/x
  3. Step 3: Cross multiply
    6,871.69x = 9,477.08 × 5,282.19
  4. Step 4: Simplify right side
    6,871.69x = 50,059,737.21
  5. Step 5: Solve for x
    x = 50,059,737.21/6,871.69
  6. Step 6: Final answer
    x = 7,284.92

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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.