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Finding the Fourth Proportional to 10,580.64, 15,873.65 and 7,466.73

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Solution

The fourth proportional to 10,580.64, 15,873.65 and 7,466.73 is: 11,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.64 : 15,873.65 = 7,466.73 : x
  2. Step 2: Convert to fraction form
    10,580.64/15,873.65 = 7,466.73/x
  3. Step 3: Cross multiply
    10,580.64x = 15,873.65 × 7,466.73
  4. Step 4: Simplify right side
    10,580.64x = 118,524,169.46
  5. Step 5: Solve for x
    x = 118,524,169.46/10,580.64
  6. Step 6: Final answer
    x = 11,201.99

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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.