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Finding the Fourth Proportional to 7,102.16, 10,636.83 and 6,856.13

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Solution

The fourth proportional to 7,102.16, 10,636.83 and 6,856.13 is: 10,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.16 : 10,636.83 = 6,856.13 : x
  2. Step 2: Convert to fraction form
    7,102.16/10,636.83 = 6,856.13/x
  3. Step 3: Cross multiply
    7,102.16x = 10,636.83 × 6,856.13
  4. Step 4: Simplify right side
    7,102.16x = 72,927,436.08
  5. Step 5: Solve for x
    x = 72,927,436.08/7,102.16
  6. Step 6: Final answer
    x = 10,268.35

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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.