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Finding the Fourth Proportional to 6,356.12, 8,771.74 and 3,703.10

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Solution

The fourth proportional to 6,356.12, 8,771.74 and 3,703.10 is: 5,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.12 : 8,771.74 = 3,703.10 : x
  2. Step 2: Convert to fraction form
    6,356.12/8,771.74 = 3,703.10/x
  3. Step 3: Cross multiply
    6,356.12x = 8,771.74 × 3,703.10
  4. Step 4: Simplify right side
    6,356.12x = 32,482,630.39
  5. Step 5: Solve for x
    x = 32,482,630.39/6,356.12
  6. Step 6: Final answer
    x = 5,110.45

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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.