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Finding the Fourth Proportional to 10,062.54, 13,887 and 5,814.36

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Solution

The fourth proportional to 10,062.54, 13,887 and 5,814.36 is: 8,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.54 : 13,887 = 5,814.36 : x
  2. Step 2: Convert to fraction form
    10,062.54/13,887 = 5,814.36/x
  3. Step 3: Cross multiply
    10,062.54x = 13,887 × 5,814.36
  4. Step 4: Simplify right side
    10,062.54x = 80,744,017.32
  5. Step 5: Solve for x
    x = 80,744,017.32/10,062.54
  6. Step 6: Final answer
    x = 8,024.22

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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.