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Finding the Fourth Proportional to 12,967.82, 17,894.25 and 7,301.66

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Solution

The fourth proportional to 12,967.82, 17,894.25 and 7,301.66 is: 10,075.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.82 : 17,894.25 = 7,301.66 : x
  2. Step 2: Convert to fraction form
    12,967.82/17,894.25 = 7,301.66/x
  3. Step 3: Cross multiply
    12,967.82x = 17,894.25 × 7,301.66
  4. Step 4: Simplify right side
    12,967.82x = 130,657,774.19
  5. Step 5: Solve for x
    x = 130,657,774.19/12,967.82
  6. Step 6: Final answer
    x = 10,075.54

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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.