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Finding the Fourth Proportional to 9,599.80, 13,243.43 and 5,619.16

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Solution

The fourth proportional to 9,599.80, 13,243.43 and 5,619.16 is: 7,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.80 : 13,243.43 = 5,619.16 : x
  2. Step 2: Convert to fraction form
    9,599.80/13,243.43 = 5,619.16/x
  3. Step 3: Cross multiply
    9,599.80x = 13,243.43 × 5,619.16
  4. Step 4: Simplify right side
    9,599.80x = 74,416,857.81
  5. Step 5: Solve for x
    x = 74,416,857.81/9,599.80
  6. Step 6: Final answer
    x = 7,751.92

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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.