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Finding the Fourth Proportional to 14,821.76, 22,238.87 and 6,497.48

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Solution

The fourth proportional to 14,821.76, 22,238.87 and 6,497.48 is: 9,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.76 : 22,238.87 = 6,497.48 : x
  2. Step 2: Convert to fraction form
    14,821.76/22,238.87 = 6,497.48/x
  3. Step 3: Cross multiply
    14,821.76x = 22,238.87 × 6,497.48
  4. Step 4: Simplify right side
    14,821.76x = 144,496,518.10
  5. Step 5: Solve for x
    x = 144,496,518.10/14,821.76
  6. Step 6: Final answer
    x = 9,748.95

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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.