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Finding the Fourth Proportional to 9,706.77, 14,557.12 and 6,437.21

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Solution

The fourth proportional to 9,706.77, 14,557.12 and 6,437.21 is: 9,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.77 : 14,557.12 = 6,437.21 : x
  2. Step 2: Convert to fraction form
    9,706.77/14,557.12 = 6,437.21/x
  3. Step 3: Cross multiply
    9,706.77x = 14,557.12 × 6,437.21
  4. Step 4: Simplify right side
    9,706.77x = 93,707,149.56
  5. Step 5: Solve for x
    x = 93,707,149.56/9,706.77
  6. Step 6: Final answer
    x = 9,653.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.