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Finding the Fourth Proportional to 6,586.88, 9,022.54 and 6,502.64

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Solution

The fourth proportional to 6,586.88, 9,022.54 and 6,502.64 is: 8,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.88 : 9,022.54 = 6,502.64 : x
  2. Step 2: Convert to fraction form
    6,586.88/9,022.54 = 6,502.64/x
  3. Step 3: Cross multiply
    6,586.88x = 9,022.54 × 6,502.64
  4. Step 4: Simplify right side
    6,586.88x = 58,670,329.51
  5. Step 5: Solve for x
    x = 58,670,329.51/6,586.88
  6. Step 6: Final answer
    x = 8,907.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.