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Finding the Fourth Proportional to 10,679.02, 14,738.16 and 6,700.30

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Solution

The fourth proportional to 10,679.02, 14,738.16 and 6,700.30 is: 9,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.02 : 14,738.16 = 6,700.30 : x
  2. Step 2: Convert to fraction form
    10,679.02/14,738.16 = 6,700.30/x
  3. Step 3: Cross multiply
    10,679.02x = 14,738.16 × 6,700.30
  4. Step 4: Simplify right side
    10,679.02x = 98,750,093.45
  5. Step 5: Solve for x
    x = 98,750,093.45/10,679.02
  6. Step 6: Final answer
    x = 9,247.11

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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.