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Finding the Fourth Proportional to 9,775.56, 13,490.04 and 5,299.12

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Solution

The fourth proportional to 9,775.56, 13,490.04 and 5,299.12 is: 7,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.56 : 13,490.04 = 5,299.12 : x
  2. Step 2: Convert to fraction form
    9,775.56/13,490.04 = 5,299.12/x
  3. Step 3: Cross multiply
    9,775.56x = 13,490.04 × 5,299.12
  4. Step 4: Simplify right side
    9,775.56x = 71,485,340.76
  5. Step 5: Solve for x
    x = 71,485,340.76/9,775.56
  6. Step 6: Final answer
    x = 7,312.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.