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Finding the Fourth Proportional to 7,057.65, 10,524.80 and 6,184.22

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Solution

The fourth proportional to 7,057.65, 10,524.80 and 6,184.22 is: 9,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.65 : 10,524.80 = 6,184.22 : x
  2. Step 2: Convert to fraction form
    7,057.65/10,524.80 = 6,184.22/x
  3. Step 3: Cross multiply
    7,057.65x = 10,524.80 × 6,184.22
  4. Step 4: Simplify right side
    7,057.65x = 65,087,641.49
  5. Step 5: Solve for x
    x = 65,087,641.49/7,057.65
  6. Step 6: Final answer
    x = 9,222.28

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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.