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Finding the Fourth Proportional to 9,295.78, 13,943.69 and 6,534.79

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Solution

The fourth proportional to 9,295.78, 13,943.69 and 6,534.79 is: 9,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.78 : 13,943.69 = 6,534.79 : x
  2. Step 2: Convert to fraction form
    9,295.78/13,943.69 = 6,534.79/x
  3. Step 3: Cross multiply
    9,295.78x = 13,943.69 × 6,534.79
  4. Step 4: Simplify right side
    9,295.78x = 91,119,085.98
  5. Step 5: Solve for x
    x = 91,119,085.98/9,295.78
  6. Step 6: Final answer
    x = 9,802.20

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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.