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Finding the Fourth Proportional to 4,612.34, 6,917.14 and 1,492.45

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Solution

The fourth proportional to 4,612.34, 6,917.14 and 1,492.45 is: 2,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.34 : 6,917.14 = 1,492.45 : x
  2. Step 2: Convert to fraction form
    4,612.34/6,917.14 = 1,492.45/x
  3. Step 3: Cross multiply
    4,612.34x = 6,917.14 × 1,492.45
  4. Step 4: Simplify right side
    4,612.34x = 10,323,443.55
  5. Step 5: Solve for x
    x = 10,323,443.55/4,612.34
  6. Step 6: Final answer
    x = 2,238.23

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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.