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Finding the Fourth Proportional to 26,007.84, 39,015 and 8,472.96

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Solution

The fourth proportional to 26,007.84, 39,015 and 8,472.96 is: 12,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,007.84 : 39,015 = 8,472.96 : x
  2. Step 2: Convert to fraction form
    26,007.84/39,015 = 8,472.96/x
  3. Step 3: Cross multiply
    26,007.84x = 39,015 × 8,472.96
  4. Step 4: Simplify right side
    26,007.84x = 330,572,534.40
  5. Step 5: Solve for x
    x = 330,572,534.40/26,007.84
  6. Step 6: Final answer
    x = 12,710.50

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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.