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Finding the Fourth Proportional to 6,920.42, 10,417.58 and 6,206

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Solution

The fourth proportional to 6,920.42, 10,417.58 and 6,206 is: 9,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.42 : 10,417.58 = 6,206 : x
  2. Step 2: Convert to fraction form
    6,920.42/10,417.58 = 6,206/x
  3. Step 3: Cross multiply
    6,920.42x = 10,417.58 × 6,206
  4. Step 4: Simplify right side
    6,920.42x = 64,651,501.48
  5. Step 5: Solve for x
    x = 64,651,501.48/6,920.42
  6. Step 6: Final answer
    x = 9,342.14

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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.