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Finding the Fourth Proportional to 9,697.73, 13,384.39 and 5,719.28

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Solution

The fourth proportional to 9,697.73, 13,384.39 and 5,719.28 is: 7,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.73 : 13,384.39 = 5,719.28 : x
  2. Step 2: Convert to fraction form
    9,697.73/13,384.39 = 5,719.28/x
  3. Step 3: Cross multiply
    9,697.73x = 13,384.39 × 5,719.28
  4. Step 4: Simplify right side
    9,697.73x = 76,549,074.04
  5. Step 5: Solve for x
    x = 76,549,074.04/9,697.73
  6. Step 6: Final answer
    x = 7,893.50

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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.