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Finding the Fourth Proportional to 9,602.60, 14,384.66 and 7,631.46

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Solution

The fourth proportional to 9,602.60, 14,384.66 and 7,631.46 is: 11,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.60 : 14,384.66 = 7,631.46 : x
  2. Step 2: Convert to fraction form
    9,602.60/14,384.66 = 7,631.46/x
  3. Step 3: Cross multiply
    9,602.60x = 14,384.66 × 7,631.46
  4. Step 4: Simplify right side
    9,602.60x = 109,775,919.25
  5. Step 5: Solve for x
    x = 109,775,919.25/9,602.60
  6. Step 6: Final answer
    x = 11,431.90

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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.