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Finding the Fourth Proportional to 9,857.46, 13,605.46 and 6,271.68

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Solution

The fourth proportional to 9,857.46, 13,605.46 and 6,271.68 is: 8,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.46 : 13,605.46 = 6,271.68 : x
  2. Step 2: Convert to fraction form
    9,857.46/13,605.46 = 6,271.68/x
  3. Step 3: Cross multiply
    9,857.46x = 13,605.46 × 6,271.68
  4. Step 4: Simplify right side
    9,857.46x = 85,329,091.37
  5. Step 5: Solve for x
    x = 85,329,091.37/9,857.46
  6. Step 6: Final answer
    x = 8,656.30

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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.