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Finding the Fourth Proportional to 6,924.42, 10,423.62 and 6,210

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Solution

The fourth proportional to 6,924.42, 10,423.62 and 6,210 is: 9,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.42 : 10,423.62 = 6,210 : x
  2. Step 2: Convert to fraction form
    6,924.42/10,423.62 = 6,210/x
  3. Step 3: Cross multiply
    6,924.42x = 10,423.62 × 6,210
  4. Step 4: Simplify right side
    6,924.42x = 64,730,680.20
  5. Step 5: Solve for x
    x = 64,730,680.20/6,924.42
  6. Step 6: Final answer
    x = 9,348.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.