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Finding the Fourth Proportional to 12,348.64, 17,041.29 and 6,971.38

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Solution

The fourth proportional to 12,348.64, 17,041.29 and 6,971.38 is: 9,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.64 : 17,041.29 = 6,971.38 : x
  2. Step 2: Convert to fraction form
    12,348.64/17,041.29 = 6,971.38/x
  3. Step 3: Cross multiply
    12,348.64x = 17,041.29 × 6,971.38
  4. Step 4: Simplify right side
    12,348.64x = 118,801,278.75
  5. Step 5: Solve for x
    x = 118,801,278.75/12,348.64
  6. Step 6: Final answer
    x = 9,620.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.