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Finding the Fourth Proportional to 9,295.97, 13,943.97 and 6,534.99

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Solution

The fourth proportional to 9,295.97, 13,943.97 and 6,534.99 is: 9,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.97 : 13,943.97 = 6,534.99 : x
  2. Step 2: Convert to fraction form
    9,295.97/13,943.97 = 6,534.99/x
  3. Step 3: Cross multiply
    9,295.97x = 13,943.97 × 6,534.99
  4. Step 4: Simplify right side
    9,295.97x = 91,123,704.51
  5. Step 5: Solve for x
    x = 91,123,704.51/9,295.97
  6. Step 6: Final answer
    x = 9,802.50

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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.