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Finding the Fourth Proportional to 26,829, 40,243.32 and 9,298.98

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Solution

The fourth proportional to 26,829, 40,243.32 and 9,298.98 is: 13,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,829 : 40,243.32 = 9,298.98 : x
  2. Step 2: Convert to fraction form
    26,829/40,243.32 = 9,298.98/x
  3. Step 3: Cross multiply
    26,829x = 40,243.32 × 9,298.98
  4. Step 4: Simplify right side
    26,829x = 374,221,827.81
  5. Step 5: Solve for x
    x = 374,221,827.81/26,829
  6. Step 6: Final answer
    x = 13,948.41

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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.