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Finding the Fourth Proportional to 6,978.23, 10,467.35 and 4,382.99

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Solution

The fourth proportional to 6,978.23, 10,467.35 and 4,382.99 is: 6,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.23 : 10,467.35 = 4,382.99 : x
  2. Step 2: Convert to fraction form
    6,978.23/10,467.35 = 4,382.99/x
  3. Step 3: Cross multiply
    6,978.23x = 10,467.35 × 4,382.99
  4. Step 4: Simplify right side
    6,978.23x = 45,878,290.38
  5. Step 5: Solve for x
    x = 45,878,290.38/6,978.23
  6. Step 6: Final answer
    x = 6,574.49

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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.