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Finding the Fourth Proportional to 9,735.77, 14,616.21 and 8,357.96

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Solution

The fourth proportional to 9,735.77, 14,616.21 and 8,357.96 is: 12,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.77 : 14,616.21 = 8,357.96 : x
  2. Step 2: Convert to fraction form
    9,735.77/14,616.21 = 8,357.96/x
  3. Step 3: Cross multiply
    9,735.77x = 14,616.21 × 8,357.96
  4. Step 4: Simplify right side
    9,735.77x = 122,161,698.53
  5. Step 5: Solve for x
    x = 122,161,698.53/9,735.77
  6. Step 6: Final answer
    x = 12,547.72

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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.