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Finding the Fourth Proportional to 9,869.54, 14,782.71 and 6,396.26

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Solution

The fourth proportional to 9,869.54, 14,782.71 and 6,396.26 is: 9,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.54 : 14,782.71 = 6,396.26 : x
  2. Step 2: Convert to fraction form
    9,869.54/14,782.71 = 6,396.26/x
  3. Step 3: Cross multiply
    9,869.54x = 14,782.71 × 6,396.26
  4. Step 4: Simplify right side
    9,869.54x = 94,554,056.66
  5. Step 5: Solve for x
    x = 94,554,056.66/9,869.54
  6. Step 6: Final answer
    x = 9,580.39

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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.