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Finding the Fourth Proportional to 6,643.49, 9,163.13 and 5,802.40

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Solution

The fourth proportional to 6,643.49, 9,163.13 and 5,802.40 is: 8,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.49 : 9,163.13 = 5,802.40 : x
  2. Step 2: Convert to fraction form
    6,643.49/9,163.13 = 5,802.40/x
  3. Step 3: Cross multiply
    6,643.49x = 9,163.13 × 5,802.40
  4. Step 4: Simplify right side
    6,643.49x = 53,168,127.95
  5. Step 5: Solve for x
    x = 53,168,127.95/6,643.49
  6. Step 6: Final answer
    x = 8,003.05

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1.5x scale

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.