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Finding the Fourth Proportional to 10,328.54, 14,255.64 and 6,792.08

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Solution

The fourth proportional to 10,328.54, 14,255.64 and 6,792.08 is: 9,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.54 : 14,255.64 = 6,792.08 : x
  2. Step 2: Convert to fraction form
    10,328.54/14,255.64 = 6,792.08/x
  3. Step 3: Cross multiply
    10,328.54x = 14,255.64 × 6,792.08
  4. Step 4: Simplify right side
    10,328.54x = 96,825,447.33
  5. Step 5: Solve for x
    x = 96,825,447.33/10,328.54
  6. Step 6: Final answer
    x = 9,374.55

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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.