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Finding the Fourth Proportional to 7,034.94, 9,707.90 and 3,848.16

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Solution

The fourth proportional to 7,034.94, 9,707.90 and 3,848.16 is: 5,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.94 : 9,707.90 = 3,848.16 : x
  2. Step 2: Convert to fraction form
    7,034.94/9,707.90 = 3,848.16/x
  3. Step 3: Cross multiply
    7,034.94x = 9,707.90 × 3,848.16
  4. Step 4: Simplify right side
    7,034.94x = 37,357,552.46
  5. Step 5: Solve for x
    x = 37,357,552.46/7,034.94
  6. Step 6: Final answer
    x = 5,310.29

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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.