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Finding the Fourth Proportional to 12,570.25, 17,346.99 and 6,981.25

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Solution

The fourth proportional to 12,570.25, 17,346.99 and 6,981.25 is: 9,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.25 : 17,346.99 = 6,981.25 : x
  2. Step 2: Convert to fraction form
    12,570.25/17,346.99 = 6,981.25/x
  3. Step 3: Cross multiply
    12,570.25x = 17,346.99 × 6,981.25
  4. Step 4: Simplify right side
    12,570.25x = 121,103,673.94
  5. Step 5: Solve for x
    x = 121,103,673.94/12,570.25
  6. Step 6: Final answer
    x = 9,634.15

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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.