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Finding the Fourth Proportional to 7,854.47, 10,848.78 and 5,873.84

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Solution

The fourth proportional to 7,854.47, 10,848.78 and 5,873.84 is: 8,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.47 : 10,848.78 = 5,873.84 : x
  2. Step 2: Convert to fraction form
    7,854.47/10,848.78 = 5,873.84/x
  3. Step 3: Cross multiply
    7,854.47x = 10,848.78 × 5,873.84
  4. Step 4: Simplify right side
    7,854.47x = 63,723,943.67
  5. Step 5: Solve for x
    x = 63,723,943.67/7,854.47
  6. Step 6: Final answer
    x = 8,113.09

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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.