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Finding the Fourth Proportional to 10,729.97, 14,808.04 and 6,014.25

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Solution

The fourth proportional to 10,729.97, 14,808.04 and 6,014.25 is: 8,300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.97 : 14,808.04 = 6,014.25 : x
  2. Step 2: Convert to fraction form
    10,729.97/14,808.04 = 6,014.25/x
  3. Step 3: Cross multiply
    10,729.97x = 14,808.04 × 6,014.25
  4. Step 4: Simplify right side
    10,729.97x = 89,059,256.45
  5. Step 5: Solve for x
    x = 89,059,256.45/10,729.97
  6. Step 6: Final answer
    x = 8,300.05

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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.