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Finding the Fourth Proportional to 8,495.84, 11,724.12 and 4,719

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Solution

The fourth proportional to 8,495.84, 11,724.12 and 4,719 is: 6,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.84 : 11,724.12 = 4,719 : x
  2. Step 2: Convert to fraction form
    8,495.84/11,724.12 = 4,719/x
  3. Step 3: Cross multiply
    8,495.84x = 11,724.12 × 4,719
  4. Step 4: Simplify right side
    8,495.84x = 55,326,122.28
  5. Step 5: Solve for x
    x = 55,326,122.28/8,495.84
  6. Step 6: Final answer
    x = 6,512.14

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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.