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Finding the Fourth Proportional to 10,533.60, 15,794.64 and 6,156

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Solution

The fourth proportional to 10,533.60, 15,794.64 and 6,156 is: 9,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.60 : 15,794.64 = 6,156 : x
  2. Step 2: Convert to fraction form
    10,533.60/15,794.64 = 6,156/x
  3. Step 3: Cross multiply
    10,533.60x = 15,794.64 × 6,156
  4. Step 4: Simplify right side
    10,533.60x = 97,231,803.84
  5. Step 5: Solve for x
    x = 97,231,803.84/10,533.60
  6. Step 6: Final answer
    x = 9,230.63

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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.