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Finding the Fourth Proportional to 13,002.44, 17,943.32 and 7,034.08

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Solution

The fourth proportional to 13,002.44, 17,943.32 and 7,034.08 is: 9,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.44 : 17,943.32 = 7,034.08 : x
  2. Step 2: Convert to fraction form
    13,002.44/17,943.32 = 7,034.08/x
  3. Step 3: Cross multiply
    13,002.44x = 17,943.32 × 7,034.08
  4. Step 4: Simplify right side
    13,002.44x = 126,214,748.35
  5. Step 5: Solve for x
    x = 126,214,748.35/13,002.44
  6. Step 6: Final answer
    x = 9,707.00

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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.