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Finding the Fourth Proportional to 13,011.66, 17,954.16 and 7,904.52

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Solution

The fourth proportional to 13,011.66, 17,954.16 and 7,904.52 is: 10,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.66 : 17,954.16 = 7,904.52 : x
  2. Step 2: Convert to fraction form
    13,011.66/17,954.16 = 7,904.52/x
  3. Step 3: Cross multiply
    13,011.66x = 17,954.16 × 7,904.52
  4. Step 4: Simplify right side
    13,011.66x = 141,919,016.80
  5. Step 5: Solve for x
    x = 141,919,016.80/13,011.66
  6. Step 6: Final answer
    x = 10,907.06

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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.