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Finding the Fourth Proportional to 7,859.43, 10,842.80 and 5,026.05

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Solution

The fourth proportional to 7,859.43, 10,842.80 and 5,026.05 is: 6,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.43 : 10,842.80 = 5,026.05 : x
  2. Step 2: Convert to fraction form
    7,859.43/10,842.80 = 5,026.05/x
  3. Step 3: Cross multiply
    7,859.43x = 10,842.80 × 5,026.05
  4. Step 4: Simplify right side
    7,859.43x = 54,496,429.81
  5. Step 5: Solve for x
    x = 54,496,429.81/7,859.43
  6. Step 6: Final answer
    x = 6,933.89

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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.