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Finding the Fourth Proportional to 12,966.11, 17,894.93 and 7,301.96

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Solution

The fourth proportional to 12,966.11, 17,894.93 and 7,301.96 is: 10,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.11 : 17,894.93 = 7,301.96 : x
  2. Step 2: Convert to fraction form
    12,966.11/17,894.93 = 7,301.96/x
  3. Step 3: Cross multiply
    12,966.11x = 17,894.93 × 7,301.96
  4. Step 4: Simplify right side
    12,966.11x = 130,668,089.55
  5. Step 5: Solve for x
    x = 130,668,089.55/12,966.11
  6. Step 6: Final answer
    x = 10,077.67

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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.