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Finding the Fourth Proportional to 16,535, 22,820.58 and 11,496.44

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Solution

The fourth proportional to 16,535, 22,820.58 and 11,496.44 is: 15,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535 : 22,820.58 = 11,496.44 : x
  2. Step 2: Convert to fraction form
    16,535/22,820.58 = 11,496.44/x
  3. Step 3: Cross multiply
    16,535x = 22,820.58 × 11,496.44
  4. Step 4: Simplify right side
    16,535x = 262,355,428.74
  5. Step 5: Solve for x
    x = 262,355,428.74/16,535
  6. Step 6: Final answer
    x = 15,866.67

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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.