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Finding the Fourth Proportional to 9,883.50, 14,802.97 and 6,935.08

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Solution

The fourth proportional to 9,883.50, 14,802.97 and 6,935.08 is: 10,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.50 : 14,802.97 = 6,935.08 : x
  2. Step 2: Convert to fraction form
    9,883.50/14,802.97 = 6,935.08/x
  3. Step 3: Cross multiply
    9,883.50x = 14,802.97 × 6,935.08
  4. Step 4: Simplify right side
    9,883.50x = 102,659,781.19
  5. Step 5: Solve for x
    x = 102,659,781.19/9,883.50
  6. Step 6: Final answer
    x = 10,386.99

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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.