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Finding the Fourth Proportional to 10,527.69, 14,533.47 and 6,550.08

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Solution

The fourth proportional to 10,527.69, 14,533.47 and 6,550.08 is: 9,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.69 : 14,533.47 = 6,550.08 : x
  2. Step 2: Convert to fraction form
    10,527.69/14,533.47 = 6,550.08/x
  3. Step 3: Cross multiply
    10,527.69x = 14,533.47 × 6,550.08
  4. Step 4: Simplify right side
    10,527.69x = 95,195,374.80
  5. Step 5: Solve for x
    x = 95,195,374.80/10,527.69
  6. Step 6: Final answer
    x = 9,042.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.