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Finding the Fourth Proportional to 7,699.74, 11,549.61 and 3,079.50

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Solution

The fourth proportional to 7,699.74, 11,549.61 and 3,079.50 is: 4,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.74 : 11,549.61 = 3,079.50 : x
  2. Step 2: Convert to fraction form
    7,699.74/11,549.61 = 3,079.50/x
  3. Step 3: Cross multiply
    7,699.74x = 11,549.61 × 3,079.50
  4. Step 4: Simplify right side
    7,699.74x = 35,567,024.00
  5. Step 5: Solve for x
    x = 35,567,024.00/7,699.74
  6. Step 6: Final answer
    x = 4,619.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.