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Finding the Fourth Proportional to 10,601, 14,629.38 and 6,185

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Solution

The fourth proportional to 10,601, 14,629.38 and 6,185 is: 8,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601 : 14,629.38 = 6,185 : x
  2. Step 2: Convert to fraction form
    10,601/14,629.38 = 6,185/x
  3. Step 3: Cross multiply
    10,601x = 14,629.38 × 6,185
  4. Step 4: Simplify right side
    10,601x = 90,482,715.30
  5. Step 5: Solve for x
    x = 90,482,715.30/10,601
  6. Step 6: Final answer
    x = 8,535.30

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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.