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Finding the Fourth Proportional to 26,827.80, 40,241.70 and 7,109.40

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Solution

The fourth proportional to 26,827.80, 40,241.70 and 7,109.40 is: 10,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,827.80 : 40,241.70 = 7,109.40 : x
  2. Step 2: Convert to fraction form
    26,827.80/40,241.70 = 7,109.40/x
  3. Step 3: Cross multiply
    26,827.80x = 40,241.70 × 7,109.40
  4. Step 4: Simplify right side
    26,827.80x = 286,094,341.98
  5. Step 5: Solve for x
    x = 286,094,341.98/26,827.80
  6. Step 6: Final answer
    x = 10,664.10

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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.