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Finding the Fourth Proportional to 8,314.36, 11,473 and 4,588.12

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Solution

The fourth proportional to 8,314.36, 11,473 and 4,588.12 is: 6,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.36 : 11,473 = 4,588.12 : x
  2. Step 2: Convert to fraction form
    8,314.36/11,473 = 4,588.12/x
  3. Step 3: Cross multiply
    8,314.36x = 11,473 × 4,588.12
  4. Step 4: Simplify right side
    8,314.36x = 52,639,500.76
  5. Step 5: Solve for x
    x = 52,639,500.76/8,314.36
  6. Step 6: Final answer
    x = 6,331.15

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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.