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Finding the Fourth Proportional to 10,602.88, 14,631.97 and 5,887.19

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Solution

The fourth proportional to 10,602.88, 14,631.97 and 5,887.19 is: 8,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.88 : 14,631.97 = 5,887.19 : x
  2. Step 2: Convert to fraction form
    10,602.88/14,631.97 = 5,887.19/x
  3. Step 3: Cross multiply
    10,602.88x = 14,631.97 × 5,887.19
  4. Step 4: Simplify right side
    10,602.88x = 86,141,187.46
  5. Step 5: Solve for x
    x = 86,141,187.46/10,602.88
  6. Step 6: Final answer
    x = 8,124.32

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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.