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Finding the Fourth Proportional to 11,757.63, 16,225.53 and 7,044.64

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Solution

The fourth proportional to 11,757.63, 16,225.53 and 7,044.64 is: 9,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.63 : 16,225.53 = 7,044.64 : x
  2. Step 2: Convert to fraction form
    11,757.63/16,225.53 = 7,044.64/x
  3. Step 3: Cross multiply
    11,757.63x = 16,225.53 × 7,044.64
  4. Step 4: Simplify right side
    11,757.63x = 114,303,017.66
  5. Step 5: Solve for x
    x = 114,303,017.66/11,757.63
  6. Step 6: Final answer
    x = 9,721.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.