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Finding the Fourth Proportional to 10,739, 14,816.58 and 6,764.06

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Solution

The fourth proportional to 10,739, 14,816.58 and 6,764.06 is: 9,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739 : 14,816.58 = 6,764.06 : x
  2. Step 2: Convert to fraction form
    10,739/14,816.58 = 6,764.06/x
  3. Step 3: Cross multiply
    10,739x = 14,816.58 × 6,764.06
  4. Step 4: Simplify right side
    10,739x = 100,220,236.11
  5. Step 5: Solve for x
    x = 100,220,236.11/10,739
  6. Step 6: Final answer
    x = 9,332.36

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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.