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Finding the Fourth Proportional to 9,566.32, 13,202.07 and 5,374.84

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Solution

The fourth proportional to 9,566.32, 13,202.07 and 5,374.84 is: 7,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.32 : 13,202.07 = 5,374.84 : x
  2. Step 2: Convert to fraction form
    9,566.32/13,202.07 = 5,374.84/x
  3. Step 3: Cross multiply
    9,566.32x = 13,202.07 × 5,374.84
  4. Step 4: Simplify right side
    9,566.32x = 70,959,013.92
  5. Step 5: Solve for x
    x = 70,959,013.92/9,566.32
  6. Step 6: Final answer
    x = 7,417.59

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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.