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Finding the Fourth Proportional to 7,642.18, 11,410.98 and 6,846.40

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Solution

The fourth proportional to 7,642.18, 11,410.98 and 6,846.40 is: 10,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.18 : 11,410.98 = 6,846.40 : x
  2. Step 2: Convert to fraction form
    7,642.18/11,410.98 = 6,846.40/x
  3. Step 3: Cross multiply
    7,642.18x = 11,410.98 × 6,846.40
  4. Step 4: Simplify right side
    7,642.18x = 78,124,133.47
  5. Step 5: Solve for x
    x = 78,124,133.47/7,642.18
  6. Step 6: Final answer
    x = 10,222.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.