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Finding the Fourth Proportional to 7,883.54, 10,869.18 and 6,462.08

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Solution

The fourth proportional to 7,883.54, 10,869.18 and 6,462.08 is: 8,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.54 : 10,869.18 = 6,462.08 : x
  2. Step 2: Convert to fraction form
    7,883.54/10,869.18 = 6,462.08/x
  3. Step 3: Cross multiply
    7,883.54x = 10,869.18 × 6,462.08
  4. Step 4: Simplify right side
    7,883.54x = 70,237,510.69
  5. Step 5: Solve for x
    x = 70,237,510.69/7,883.54
  6. Step 6: Final answer
    x = 8,909.39

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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.