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Finding the Fourth Proportional to 9,616.69, 14,360.90 and 9,124.60

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Solution

The fourth proportional to 9,616.69, 14,360.90 and 9,124.60 is: 13,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.69 : 14,360.90 = 9,124.60 : x
  2. Step 2: Convert to fraction form
    9,616.69/14,360.90 = 9,124.60/x
  3. Step 3: Cross multiply
    9,616.69x = 14,360.90 × 9,124.60
  4. Step 4: Simplify right side
    9,616.69x = 131,037,468.14
  5. Step 5: Solve for x
    x = 131,037,468.14/9,616.69
  6. Step 6: Final answer
    x = 13,626.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.