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Finding the Fourth Proportional to 9,887.09, 14,814.22 and 6,959.24

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Solution

The fourth proportional to 9,887.09, 14,814.22 and 6,959.24 is: 10,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.09 : 14,814.22 = 6,959.24 : x
  2. Step 2: Convert to fraction form
    9,887.09/14,814.22 = 6,959.24/x
  3. Step 3: Cross multiply
    9,887.09x = 14,814.22 × 6,959.24
  4. Step 4: Simplify right side
    9,887.09x = 103,095,712.39
  5. Step 5: Solve for x
    x = 103,095,712.39/9,887.09
  6. Step 6: Final answer
    x = 10,427.31

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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.