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Finding the Fourth Proportional to 7,710.55, 11,576.75 and 7,358.20

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Solution

The fourth proportional to 7,710.55, 11,576.75 and 7,358.20 is: 11,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.55 : 11,576.75 = 7,358.20 : x
  2. Step 2: Convert to fraction form
    7,710.55/11,576.75 = 7,358.20/x
  3. Step 3: Cross multiply
    7,710.55x = 11,576.75 × 7,358.20
  4. Step 4: Simplify right side
    7,710.55x = 85,184,041.85
  5. Step 5: Solve for x
    x = 85,184,041.85/7,710.55
  6. Step 6: Final answer
    x = 11,047.73

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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.