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Finding the Fourth Proportional to 13,000.44, 19,484.22 and 6,424.86

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Solution

The fourth proportional to 13,000.44, 19,484.22 and 6,424.86 is: 9,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.44 : 19,484.22 = 6,424.86 : x
  2. Step 2: Convert to fraction form
    13,000.44/19,484.22 = 6,424.86/x
  3. Step 3: Cross multiply
    13,000.44x = 19,484.22 × 6,424.86
  4. Step 4: Simplify right side
    13,000.44x = 125,183,385.71
  5. Step 5: Solve for x
    x = 125,183,385.71/13,000.44
  6. Step 6: Final answer
    x = 9,629.17

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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.