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Finding the Fourth Proportional to 9,197.64, 12,693.24 and 5,219.28

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Solution

The fourth proportional to 9,197.64, 12,693.24 and 5,219.28 is: 7,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.64 : 12,693.24 = 5,219.28 : x
  2. Step 2: Convert to fraction form
    9,197.64/12,693.24 = 5,219.28/x
  3. Step 3: Cross multiply
    9,197.64x = 12,693.24 × 5,219.28
  4. Step 4: Simplify right side
    9,197.64x = 66,249,573.67
  5. Step 5: Solve for x
    x = 66,249,573.67/9,197.64
  6. Step 6: Final answer
    x = 7,202.89

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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.