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Finding the Fourth Proportional to 11,345, 15,656.10 and 6,633.24

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Solution

The fourth proportional to 11,345, 15,656.10 and 6,633.24 is: 9,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345 : 15,656.10 = 6,633.24 : x
  2. Step 2: Convert to fraction form
    11,345/15,656.10 = 6,633.24/x
  3. Step 3: Cross multiply
    11,345x = 15,656.10 × 6,633.24
  4. Step 4: Simplify right side
    11,345x = 103,850,668.76
  5. Step 5: Solve for x
    x = 103,850,668.76/11,345
  6. Step 6: Final answer
    x = 9,153.87

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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.