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Finding the Fourth Proportional to 27,510.32, 41,265.47 and 7,788.98

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Solution

The fourth proportional to 27,510.32, 41,265.47 and 7,788.98 is: 11,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,510.32 : 41,265.47 = 7,788.98 : x
  2. Step 2: Convert to fraction form
    27,510.32/41,265.47 = 7,788.98/x
  3. Step 3: Cross multiply
    27,510.32x = 41,265.47 × 7,788.98
  4. Step 4: Simplify right side
    27,510.32x = 321,415,733.67
  5. Step 5: Solve for x
    x = 321,415,733.67/27,510.32
  6. Step 6: Final answer
    x = 11,683.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.