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Finding the Fourth Proportional to 10,045.65, 15,072.12 and 3,472.50

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Solution

The fourth proportional to 10,045.65, 15,072.12 and 3,472.50 is: 5,210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.65 : 15,072.12 = 3,472.50 : x
  2. Step 2: Convert to fraction form
    10,045.65/15,072.12 = 3,472.50/x
  3. Step 3: Cross multiply
    10,045.65x = 15,072.12 × 3,472.50
  4. Step 4: Simplify right side
    10,045.65x = 52,337,936.70
  5. Step 5: Solve for x
    x = 52,337,936.70/10,045.65
  6. Step 6: Final answer
    x = 5,210.01

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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.