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Finding the Fourth Proportional to 11,455.16, 15,808.16 and 7,473.92

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Solution

The fourth proportional to 11,455.16, 15,808.16 and 7,473.92 is: 10,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.16 : 15,808.16 = 7,473.92 : x
  2. Step 2: Convert to fraction form
    11,455.16/15,808.16 = 7,473.92/x
  3. Step 3: Cross multiply
    11,455.16x = 15,808.16 × 7,473.92
  4. Step 4: Simplify right side
    11,455.16x = 118,148,806.78
  5. Step 5: Solve for x
    x = 118,148,806.78/11,455.16
  6. Step 6: Final answer
    x = 10,314.03

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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.