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Finding the Fourth Proportional to 12,967.06, 17,894.26 and 7,931.34

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Solution

The fourth proportional to 12,967.06, 17,894.26 and 7,931.34 is: 10,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.06 : 17,894.26 = 7,931.34 : x
  2. Step 2: Convert to fraction form
    12,967.06/17,894.26 = 7,931.34/x
  3. Step 3: Cross multiply
    12,967.06x = 17,894.26 × 7,931.34
  4. Step 4: Simplify right side
    12,967.06x = 141,925,460.11
  5. Step 5: Solve for x
    x = 141,925,460.11/12,967.06
  6. Step 6: Final answer
    x = 10,945.08

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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.