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Finding the Fourth Proportional to 6,957.74, 9,602.18 and 4,306.68

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Solution

The fourth proportional to 6,957.74, 9,602.18 and 4,306.68 is: 5,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.74 : 9,602.18 = 4,306.68 : x
  2. Step 2: Convert to fraction form
    6,957.74/9,602.18 = 4,306.68/x
  3. Step 3: Cross multiply
    6,957.74x = 9,602.18 × 4,306.68
  4. Step 4: Simplify right side
    6,957.74x = 41,353,495.03
  5. Step 5: Solve for x
    x = 41,353,495.03/6,957.74
  6. Step 6: Final answer
    x = 5,943.53

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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.