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Finding the Fourth Proportional to 6,406.49, 8,841.10 and 3,574.10

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Solution

The fourth proportional to 6,406.49, 8,841.10 and 3,574.10 is: 4,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.49 : 8,841.10 = 3,574.10 : x
  2. Step 2: Convert to fraction form
    6,406.49/8,841.10 = 3,574.10/x
  3. Step 3: Cross multiply
    6,406.49x = 8,841.10 × 3,574.10
  4. Step 4: Simplify right side
    6,406.49x = 31,598,970.51
  5. Step 5: Solve for x
    x = 31,598,970.51/6,406.49
  6. Step 6: Final answer
    x = 4,932.34

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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.