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Finding the Fourth Proportional to 11,510.88, 15,886.44 and 7,033.68

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Solution

The fourth proportional to 11,510.88, 15,886.44 and 7,033.68 is: 9,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.88 : 15,886.44 = 7,033.68 : x
  2. Step 2: Convert to fraction form
    11,510.88/15,886.44 = 7,033.68/x
  3. Step 3: Cross multiply
    11,510.88x = 15,886.44 × 7,033.68
  4. Step 4: Simplify right side
    11,510.88x = 111,740,135.30
  5. Step 5: Solve for x
    x = 111,740,135.30/11,510.88
  6. Step 6: Final answer
    x = 9,707.35

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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.