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Finding the Fourth Proportional to 6,941.23, 10,412.65 and 6,941.23

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Solution

The fourth proportional to 6,941.23, 10,412.65 and 6,941.23 is: 10,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.23 : 10,412.65 = 6,941.23 : x
  2. Step 2: Convert to fraction form
    6,941.23/10,412.65 = 6,941.23/x
  3. Step 3: Cross multiply
    6,941.23x = 10,412.65 × 6,941.23
  4. Step 4: Simplify right side
    6,941.23x = 72,276,581.20
  5. Step 5: Solve for x
    x = 72,276,581.20/6,941.23
  6. Step 6: Final answer
    x = 10,412.65

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Double scale
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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.