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Finding the Fourth Proportional to 6,533.97, 9,802.17 and 3,071.22

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Solution

The fourth proportional to 6,533.97, 9,802.17 and 3,071.22 is: 4,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.97 : 9,802.17 = 3,071.22 : x
  2. Step 2: Convert to fraction form
    6,533.97/9,802.17 = 3,071.22/x
  3. Step 3: Cross multiply
    6,533.97x = 9,802.17 × 3,071.22
  4. Step 4: Simplify right side
    6,533.97x = 30,104,612.87
  5. Step 5: Solve for x
    x = 30,104,612.87/6,533.97
  6. Step 6: Final answer
    x = 4,607.40

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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.