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Finding the Fourth Proportional to 9,697.56, 13,384.20 and 7,335.60

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Solution

The fourth proportional to 9,697.56, 13,384.20 and 7,335.60 is: 10,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.56 : 13,384.20 = 7,335.60 : x
  2. Step 2: Convert to fraction form
    9,697.56/13,384.20 = 7,335.60/x
  3. Step 3: Cross multiply
    9,697.56x = 13,384.20 × 7,335.60
  4. Step 4: Simplify right side
    9,697.56x = 98,181,137.52
  5. Step 5: Solve for x
    x = 98,181,137.52/9,697.56
  6. Step 6: Final answer
    x = 10,124.31

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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.