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Finding the Fourth Proportional to 6,957.86, 9,605.13 and 4,307

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Solution

The fourth proportional to 6,957.86, 9,605.13 and 4,307 is: 5,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.86 : 9,605.13 = 4,307 : x
  2. Step 2: Convert to fraction form
    6,957.86/9,605.13 = 4,307/x
  3. Step 3: Cross multiply
    6,957.86x = 9,605.13 × 4,307
  4. Step 4: Simplify right side
    6,957.86x = 41,369,294.91
  5. Step 5: Solve for x
    x = 41,369,294.91/6,957.86
  6. Step 6: Final answer
    x = 5,945.69

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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.