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Finding the Fourth Proportional to 9,566.12, 13,200.90 and 5,374.28

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Solution

The fourth proportional to 9,566.12, 13,200.90 and 5,374.28 is: 7,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.12 : 13,200.90 = 5,374.28 : x
  2. Step 2: Convert to fraction form
    9,566.12/13,200.90 = 5,374.28/x
  3. Step 3: Cross multiply
    9,566.12x = 13,200.90 × 5,374.28
  4. Step 4: Simplify right side
    9,566.12x = 70,945,332.85
  5. Step 5: Solve for x
    x = 70,945,332.85/9,566.12
  6. Step 6: Final answer
    x = 7,416.31

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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.