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Finding the Fourth Proportional to 14,491.86, 21,737.79 and 7,564.74

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Solution

The fourth proportional to 14,491.86, 21,737.79 and 7,564.74 is: 11,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.86 : 21,737.79 = 7,564.74 : x
  2. Step 2: Convert to fraction form
    14,491.86/21,737.79 = 7,564.74/x
  3. Step 3: Cross multiply
    14,491.86x = 21,737.79 × 7,564.74
  4. Step 4: Simplify right side
    14,491.86x = 164,440,729.52
  5. Step 5: Solve for x
    x = 164,440,729.52/14,491.86
  6. Step 6: Final answer
    x = 11,347.11

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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.