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Finding the Fourth Proportional to 9,395.04, 12,964.68 and 5,203.56

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Solution

The fourth proportional to 9,395.04, 12,964.68 and 5,203.56 is: 7,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.04 : 12,964.68 = 5,203.56 : x
  2. Step 2: Convert to fraction form
    9,395.04/12,964.68 = 5,203.56/x
  3. Step 3: Cross multiply
    9,395.04x = 12,964.68 × 5,203.56
  4. Step 4: Simplify right side
    9,395.04x = 67,462,490.26
  5. Step 5: Solve for x
    x = 67,462,490.26/9,395.04
  6. Step 6: Final answer
    x = 7,180.65

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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.