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Finding the Fourth Proportional to 9,967.60, 14,947.80 and 5,035.60

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Solution

The fourth proportional to 9,967.60, 14,947.80 and 5,035.60 is: 7,551.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.60 : 14,947.80 = 5,035.60 : x
  2. Step 2: Convert to fraction form
    9,967.60/14,947.80 = 5,035.60/x
  3. Step 3: Cross multiply
    9,967.60x = 14,947.80 × 5,035.60
  4. Step 4: Simplify right side
    9,967.60x = 75,271,141.68
  5. Step 5: Solve for x
    x = 75,271,141.68/9,967.60
  6. Step 6: Final answer
    x = 7,551.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.