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Finding the Fourth Proportional to 8,594.92, 11,863.14 and 5,281

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Solution

The fourth proportional to 8,594.92, 11,863.14 and 5,281 is: 7,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.92 : 11,863.14 = 5,281 : x
  2. Step 2: Convert to fraction form
    8,594.92/11,863.14 = 5,281/x
  3. Step 3: Cross multiply
    8,594.92x = 11,863.14 × 5,281
  4. Step 4: Simplify right side
    8,594.92x = 62,649,242.34
  5. Step 5: Solve for x
    x = 62,649,242.34/8,594.92
  6. Step 6: Final answer
    x = 7,289.10

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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.