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Finding the Fourth Proportional to 7,530.86, 11,354.06 and 7,022.70

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Solution

The fourth proportional to 7,530.86, 11,354.06 and 7,022.70 is: 10,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.86 : 11,354.06 = 7,022.70 : x
  2. Step 2: Convert to fraction form
    7,530.86/11,354.06 = 7,022.70/x
  3. Step 3: Cross multiply
    7,530.86x = 11,354.06 × 7,022.70
  4. Step 4: Simplify right side
    7,530.86x = 79,736,122.05
  5. Step 5: Solve for x
    x = 79,736,122.05/7,530.86
  6. Step 6: Final answer
    x = 10,587.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.