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Finding the Fourth Proportional to 9,574.81, 13,212.97 and 5,325.65

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Solution

The fourth proportional to 9,574.81, 13,212.97 and 5,325.65 is: 7,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.81 : 13,212.97 = 5,325.65 : x
  2. Step 2: Convert to fraction form
    9,574.81/13,212.97 = 5,325.65/x
  3. Step 3: Cross multiply
    9,574.81x = 13,212.97 × 5,325.65
  4. Step 4: Simplify right side
    9,574.81x = 70,367,623.85
  5. Step 5: Solve for x
    x = 70,367,623.85/9,574.81
  6. Step 6: Final answer
    x = 7,349.25

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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.