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Finding the Fourth Proportional to 6,397.04, 8,824.40 and 4,093.10

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Solution

The fourth proportional to 6,397.04, 8,824.40 and 4,093.10 is: 5,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.04 : 8,824.40 = 4,093.10 : x
  2. Step 2: Convert to fraction form
    6,397.04/8,824.40 = 4,093.10/x
  3. Step 3: Cross multiply
    6,397.04x = 8,824.40 × 4,093.10
  4. Step 4: Simplify right side
    6,397.04x = 36,119,151.64
  5. Step 5: Solve for x
    x = 36,119,151.64/6,397.04
  6. Step 6: Final answer
    x = 5,646.23

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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.