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Finding the Fourth Proportional to 7,857.93, 10,842.90 and 4,872.68

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Solution

The fourth proportional to 7,857.93, 10,842.90 and 4,872.68 is: 6,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.93 : 10,842.90 = 4,872.68 : x
  2. Step 2: Convert to fraction form
    7,857.93/10,842.90 = 4,872.68/x
  3. Step 3: Cross multiply
    7,857.93x = 10,842.90 × 4,872.68
  4. Step 4: Simplify right side
    7,857.93x = 52,833,927.76
  5. Step 5: Solve for x
    x = 52,833,927.76/7,857.93
  6. Step 6: Final answer
    x = 6,723.64

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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.