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Finding the Fourth Proportional to 7,006.50, 10,509.81 and 1,812.06

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Solution

The fourth proportional to 7,006.50, 10,509.81 and 1,812.06 is: 2,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.50 : 10,509.81 = 1,812.06 : x
  2. Step 2: Convert to fraction form
    7,006.50/10,509.81 = 1,812.06/x
  3. Step 3: Cross multiply
    7,006.50x = 10,509.81 × 1,812.06
  4. Step 4: Simplify right side
    7,006.50x = 19,044,406.31
  5. Step 5: Solve for x
    x = 19,044,406.31/7,006.50
  6. Step 6: Final answer
    x = 2,718.11

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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.