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Finding the Fourth Proportional to 8,496.50, 11,724.75 and 4,719.47

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Solution

The fourth proportional to 8,496.50, 11,724.75 and 4,719.47 is: 6,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.50 : 11,724.75 = 4,719.47 : x
  2. Step 2: Convert to fraction form
    8,496.50/11,724.75 = 4,719.47/x
  3. Step 3: Cross multiply
    8,496.50x = 11,724.75 × 4,719.47
  4. Step 4: Simplify right side
    8,496.50x = 55,334,547.26
  5. Step 5: Solve for x
    x = 55,334,547.26/8,496.50
  6. Step 6: Final answer
    x = 6,512.63

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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.