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Finding the Fourth Proportional to 9,424.53, 13,000.10 and 6,775.53

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Solution

The fourth proportional to 9,424.53, 13,000.10 and 6,775.53 is: 9,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.53 : 13,000.10 = 6,775.53 : x
  2. Step 2: Convert to fraction form
    9,424.53/13,000.10 = 6,775.53/x
  3. Step 3: Cross multiply
    9,424.53x = 13,000.10 × 6,775.53
  4. Step 4: Simplify right side
    9,424.53x = 88,082,533.68
  5. Step 5: Solve for x
    x = 88,082,533.68/9,424.53
  6. Step 6: Final answer
    x = 9,346.09

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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.