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Finding the Fourth Proportional to 7,065.06, 9,747.53 and 4,080.50

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Solution

The fourth proportional to 7,065.06, 9,747.53 and 4,080.50 is: 5,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.06 : 9,747.53 = 4,080.50 : x
  2. Step 2: Convert to fraction form
    7,065.06/9,747.53 = 4,080.50/x
  3. Step 3: Cross multiply
    7,065.06x = 9,747.53 × 4,080.50
  4. Step 4: Simplify right side
    7,065.06x = 39,774,796.17
  5. Step 5: Solve for x
    x = 39,774,796.17/7,065.06
  6. Step 6: Final answer
    x = 5,629.79

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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.