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Finding the Fourth Proportional to 7,842, 10,822.08 and 5,854.32

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Solution

The fourth proportional to 7,842, 10,822.08 and 5,854.32 is: 8,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842 : 10,822.08 = 5,854.32 : x
  2. Step 2: Convert to fraction form
    7,842/10,822.08 = 5,854.32/x
  3. Step 3: Cross multiply
    7,842x = 10,822.08 × 5,854.32
  4. Step 4: Simplify right side
    7,842x = 63,355,919.39
  5. Step 5: Solve for x
    x = 63,355,919.39/7,842
  6. Step 6: Final answer
    x = 8,079.05

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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.