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Finding the Fourth Proportional to 9,905.57, 14,863.19 and 4,358.22

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Solution

The fourth proportional to 9,905.57, 14,863.19 and 4,358.22 is: 6,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.57 : 14,863.19 = 4,358.22 : x
  2. Step 2: Convert to fraction form
    9,905.57/14,863.19 = 4,358.22/x
  3. Step 3: Cross multiply
    9,905.57x = 14,863.19 × 4,358.22
  4. Step 4: Simplify right side
    9,905.57x = 64,777,051.92
  5. Step 5: Solve for x
    x = 64,777,051.92/9,905.57
  6. Step 6: Final answer
    x = 6,539.46

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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.