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Finding the Fourth Proportional to 10,035.04, 13,816 and 8,615.92

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Solution

The fourth proportional to 10,035.04, 13,816 and 8,615.92 is: 11,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.04 : 13,816 = 8,615.92 : x
  2. Step 2: Convert to fraction form
    10,035.04/13,816 = 8,615.92/x
  3. Step 3: Cross multiply
    10,035.04x = 13,816 × 8,615.92
  4. Step 4: Simplify right side
    10,035.04x = 119,037,550.72
  5. Step 5: Solve for x
    x = 119,037,550.72/10,035.04
  6. Step 6: Final answer
    x = 11,862.19

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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.