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Finding the Fourth Proportional to 9,605.21, 14,400.81 and 6,477.44

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Solution

The fourth proportional to 9,605.21, 14,400.81 and 6,477.44 is: 9,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.21 : 14,400.81 = 6,477.44 : x
  2. Step 2: Convert to fraction form
    9,605.21/14,400.81 = 6,477.44/x
  3. Step 3: Cross multiply
    9,605.21x = 14,400.81 × 6,477.44
  4. Step 4: Simplify right side
    9,605.21x = 93,280,366.53
  5. Step 5: Solve for x
    x = 93,280,366.53/9,605.21
  6. Step 6: Final answer
    x = 9,711.44

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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.