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Finding the Fourth Proportional to 7,693.65, 10,617.23 and 4,156.86

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Solution

The fourth proportional to 7,693.65, 10,617.23 and 4,156.86 is: 5,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.65 : 10,617.23 = 4,156.86 : x
  2. Step 2: Convert to fraction form
    7,693.65/10,617.23 = 4,156.86/x
  3. Step 3: Cross multiply
    7,693.65x = 10,617.23 × 4,156.86
  4. Step 4: Simplify right side
    7,693.65x = 44,134,285.61
  5. Step 5: Solve for x
    x = 44,134,285.61/7,693.65
  6. Step 6: Final answer
    x = 5,736.46

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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.