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Finding the Fourth Proportional to 9,895.41, 13,656.74 and 6,310.49

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Solution

The fourth proportional to 9,895.41, 13,656.74 and 6,310.49 is: 8,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.41 : 13,656.74 = 6,310.49 : x
  2. Step 2: Convert to fraction form
    9,895.41/13,656.74 = 6,310.49/x
  3. Step 3: Cross multiply
    9,895.41x = 13,656.74 × 6,310.49
  4. Step 4: Simplify right side
    9,895.41x = 86,180,621.37
  5. Step 5: Solve for x
    x = 86,180,621.37/9,895.41
  6. Step 6: Final answer
    x = 8,709.15

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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.