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Finding the Fourth Proportional to 7,854.18, 10,835.16 and 6,958.83

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Solution

The fourth proportional to 7,854.18, 10,835.16 and 6,958.83 is: 9,599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.18 : 10,835.16 = 6,958.83 : x
  2. Step 2: Convert to fraction form
    7,854.18/10,835.16 = 6,958.83/x
  3. Step 3: Cross multiply
    7,854.18x = 10,835.16 × 6,958.83
  4. Step 4: Simplify right side
    7,854.18x = 75,400,051.00
  5. Step 5: Solve for x
    x = 75,400,051.00/7,854.18
  6. Step 6: Final answer
    x = 9,599.99

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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.