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Finding the Fourth Proportional to 7,312.77, 10,969.84 and 2,047.77

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Solution

The fourth proportional to 7,312.77, 10,969.84 and 2,047.77 is: 3,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.77 : 10,969.84 = 2,047.77 : x
  2. Step 2: Convert to fraction form
    7,312.77/10,969.84 = 2,047.77/x
  3. Step 3: Cross multiply
    7,312.77x = 10,969.84 × 2,047.77
  4. Step 4: Simplify right side
    7,312.77x = 22,463,709.26
  5. Step 5: Solve for x
    x = 22,463,709.26/7,312.77
  6. Step 6: Final answer
    x = 3,071.85

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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.