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Finding the Fourth Proportional to 6,973, 10,461.12 and 2,356

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Solution

The fourth proportional to 6,973, 10,461.12 and 2,356 is: 3,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973 : 10,461.12 = 2,356 : x
  2. Step 2: Convert to fraction form
    6,973/10,461.12 = 2,356/x
  3. Step 3: Cross multiply
    6,973x = 10,461.12 × 2,356
  4. Step 4: Simplify right side
    6,973x = 24,646,398.72
  5. Step 5: Solve for x
    x = 24,646,398.72/6,973
  6. Step 6: Final answer
    x = 3,534.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.