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Finding the Fourth Proportional to 7,034.49, 9,707.85 and 3,848.00

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Solution

The fourth proportional to 7,034.49, 9,707.85 and 3,848.00 is: 5,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.49 : 9,707.85 = 3,848.00 : x
  2. Step 2: Convert to fraction form
    7,034.49/9,707.85 = 3,848.00/x
  3. Step 3: Cross multiply
    7,034.49x = 9,707.85 × 3,848.00
  4. Step 4: Simplify right side
    7,034.49x = 37,355,758.26
  5. Step 5: Solve for x
    x = 37,355,758.26/7,034.49
  6. Step 6: Final answer
    x = 5,310.37

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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.