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Finding the Fourth Proportional to 11,496, 17,252.10 and 4,572.12

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Solution

The fourth proportional to 11,496, 17,252.10 and 4,572.12 is: 6,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496 : 17,252.10 = 4,572.12 : x
  2. Step 2: Convert to fraction form
    11,496/17,252.10 = 4,572.12/x
  3. Step 3: Cross multiply
    11,496x = 17,252.10 × 4,572.12
  4. Step 4: Simplify right side
    11,496x = 78,878,671.45
  5. Step 5: Solve for x
    x = 78,878,671.45/11,496
  6. Step 6: Final answer
    x = 6,861.40

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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.