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Finding the Fourth Proportional to 8,407.60, 11,603.22 and 4,631.50

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Solution

The fourth proportional to 8,407.60, 11,603.22 and 4,631.50 is: 6,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.60 : 11,603.22 = 4,631.50 : x
  2. Step 2: Convert to fraction form
    8,407.60/11,603.22 = 4,631.50/x
  3. Step 3: Cross multiply
    8,407.60x = 11,603.22 × 4,631.50
  4. Step 4: Simplify right side
    8,407.60x = 53,740,313.43
  5. Step 5: Solve for x
    x = 53,740,313.43/8,407.60
  6. Step 6: Final answer
    x = 6,391.87

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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.