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Finding the Fourth Proportional to 6,937.19, 9,574.38 and 4,420.40

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Solution

The fourth proportional to 6,937.19, 9,574.38 and 4,420.40 is: 6,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.19 : 9,574.38 = 4,420.40 : x
  2. Step 2: Convert to fraction form
    6,937.19/9,574.38 = 4,420.40/x
  3. Step 3: Cross multiply
    6,937.19x = 9,574.38 × 4,420.40
  4. Step 4: Simplify right side
    6,937.19x = 42,322,541.48
  5. Step 5: Solve for x
    x = 42,322,541.48/6,937.19
  6. Step 6: Final answer
    x = 6,100.82

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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.