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Finding the Fourth Proportional to 14,491.69, 21,737.53 and 3,547.69

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Solution

The fourth proportional to 14,491.69, 21,737.53 and 3,547.69 is: 5,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.69 : 21,737.53 = 3,547.69 : x
  2. Step 2: Convert to fraction form
    14,491.69/21,737.53 = 3,547.69/x
  3. Step 3: Cross multiply
    14,491.69x = 21,737.53 × 3,547.69
  4. Step 4: Simplify right side
    14,491.69x = 77,117,967.90
  5. Step 5: Solve for x
    x = 77,117,967.90/14,491.69
  6. Step 6: Final answer
    x = 5,321.53

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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.