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Finding the Fourth Proportional to 15,872.46, 23,807.01 and 6,513.46

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Solution

The fourth proportional to 15,872.46, 23,807.01 and 6,513.46 is: 9,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.46 : 23,807.01 = 6,513.46 : x
  2. Step 2: Convert to fraction form
    15,872.46/23,807.01 = 6,513.46/x
  3. Step 3: Cross multiply
    15,872.46x = 23,807.01 × 6,513.46
  4. Step 4: Simplify right side
    15,872.46x = 155,066,106.18
  5. Step 5: Solve for x
    x = 155,066,106.18/15,872.46
  6. Step 6: Final answer
    x = 9,769.51

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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.