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Finding the Fourth Proportional to 9,880.21, 14,693.24 and 9,568.77

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Solution

The fourth proportional to 9,880.21, 14,693.24 and 9,568.77 is: 14,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.21 : 14,693.24 = 9,568.77 : x
  2. Step 2: Convert to fraction form
    9,880.21/14,693.24 = 9,568.77/x
  3. Step 3: Cross multiply
    9,880.21x = 14,693.24 × 9,568.77
  4. Step 4: Simplify right side
    9,880.21x = 140,596,234.11
  5. Step 5: Solve for x
    x = 140,596,234.11/9,880.21
  6. Step 6: Final answer
    x = 14,230.09

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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.