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Finding the Fourth Proportional to 9,566.71, 13,197.80 and 5,586.07

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Solution

The fourth proportional to 9,566.71, 13,197.80 and 5,586.07 is: 7,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.71 : 13,197.80 = 5,586.07 : x
  2. Step 2: Convert to fraction form
    9,566.71/13,197.80 = 5,586.07/x
  3. Step 3: Cross multiply
    9,566.71x = 13,197.80 × 5,586.07
  4. Step 4: Simplify right side
    9,566.71x = 73,723,840.36
  5. Step 5: Solve for x
    x = 73,723,840.36/9,566.71
  6. Step 6: Final answer
    x = 7,706.29

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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.