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Finding the Fourth Proportional to 11,383.66, 15,700.54 and 7,406.04

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Solution

The fourth proportional to 11,383.66, 15,700.54 and 7,406.04 is: 10,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.66 : 15,700.54 = 7,406.04 : x
  2. Step 2: Convert to fraction form
    11,383.66/15,700.54 = 7,406.04/x
  3. Step 3: Cross multiply
    11,383.66x = 15,700.54 × 7,406.04
  4. Step 4: Simplify right side
    11,383.66x = 116,278,827.26
  5. Step 5: Solve for x
    x = 116,278,827.26/11,383.66
  6. Step 6: Final answer
    x = 10,214.54

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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.