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Finding the Fourth Proportional to 14,362.66, 21,543.99 and 6,566

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Solution

The fourth proportional to 14,362.66, 21,543.99 and 6,566 is: 9,849

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.66 : 21,543.99 = 6,566 : x
  2. Step 2: Convert to fraction form
    14,362.66/21,543.99 = 6,566/x
  3. Step 3: Cross multiply
    14,362.66x = 21,543.99 × 6,566
  4. Step 4: Simplify right side
    14,362.66x = 141,457,838.34
  5. Step 5: Solve for x
    x = 141,457,838.34/14,362.66
  6. Step 6: Final answer
    x = 9,849

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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.