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Finding the Fourth Proportional to 11,225.60, 16,814.10 and 9,767.60

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Solution

The fourth proportional to 11,225.60, 16,814.10 and 9,767.60 is: 14,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.60 : 16,814.10 = 9,767.60 : x
  2. Step 2: Convert to fraction form
    11,225.60/16,814.10 = 9,767.60/x
  3. Step 3: Cross multiply
    11,225.60x = 16,814.10 × 9,767.60
  4. Step 4: Simplify right side
    11,225.60x = 164,233,403.16
  5. Step 5: Solve for x
    x = 164,233,403.16/11,225.60
  6. Step 6: Final answer
    x = 14,630.26

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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.