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Finding the Fourth Proportional to 8,002.78, 11,041.24 and 4,465.30

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Solution

The fourth proportional to 8,002.78, 11,041.24 and 4,465.30 is: 6,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.78 : 11,041.24 = 4,465.30 : x
  2. Step 2: Convert to fraction form
    8,002.78/11,041.24 = 4,465.30/x
  3. Step 3: Cross multiply
    8,002.78x = 11,041.24 × 4,465.30
  4. Step 4: Simplify right side
    8,002.78x = 49,302,448.97
  5. Step 5: Solve for x
    x = 49,302,448.97/8,002.78
  6. Step 6: Final answer
    x = 6,160.67

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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.