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Finding the Fourth Proportional to 8,071.16, 11,137.16 and 4,711.53

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Solution

The fourth proportional to 8,071.16, 11,137.16 and 4,711.53 is: 6,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.16 : 11,137.16 = 4,711.53 : x
  2. Step 2: Convert to fraction form
    8,071.16/11,137.16 = 4,711.53/x
  3. Step 3: Cross multiply
    8,071.16x = 11,137.16 × 4,711.53
  4. Step 4: Simplify right side
    8,071.16x = 52,473,039.90
  5. Step 5: Solve for x
    x = 52,473,039.90/8,071.16
  6. Step 6: Final answer
    x = 6,501.30

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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.