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Finding the Fourth Proportional to 16,140.46, 24,213 and 7,813.63

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Solution

The fourth proportional to 16,140.46, 24,213 and 7,813.63 is: 11,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.46 : 24,213 = 7,813.63 : x
  2. Step 2: Convert to fraction form
    16,140.46/24,213 = 7,813.63/x
  3. Step 3: Cross multiply
    16,140.46x = 24,213 × 7,813.63
  4. Step 4: Simplify right side
    16,140.46x = 189,191,423.19
  5. Step 5: Solve for x
    x = 189,191,423.19/16,140.46
  6. Step 6: Final answer
    x = 11,721.56

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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.