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Finding the Fourth Proportional to 15,878.16, 23,897.00 and 11,949.77

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Solution

The fourth proportional to 15,878.16, 23,897.00 and 11,949.77 is: 17,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.16 : 23,897.00 = 11,949.77 : x
  2. Step 2: Convert to fraction form
    15,878.16/23,897.00 = 11,949.77/x
  3. Step 3: Cross multiply
    15,878.16x = 23,897.00 × 11,949.77
  4. Step 4: Simplify right side
    15,878.16x = 285,563,474.46
  5. Step 5: Solve for x
    x = 285,563,474.46/15,878.16
  6. Step 6: Final answer
    x = 17,984.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.