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Finding the Fourth Proportional to 6,957.81, 9,601.61 and 3,973.46

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Solution

The fourth proportional to 6,957.81, 9,601.61 and 3,973.46 is: 5,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.81 : 9,601.61 = 3,973.46 : x
  2. Step 2: Convert to fraction form
    6,957.81/9,601.61 = 3,973.46/x
  3. Step 3: Cross multiply
    6,957.81x = 9,601.61 × 3,973.46
  4. Step 4: Simplify right side
    6,957.81x = 38,151,545.40
  5. Step 5: Solve for x
    x = 38,151,545.40/6,957.81
  6. Step 6: Final answer
    x = 5,483.27

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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.