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Finding the Fourth Proportional to 30,571.29, 45,864.09 and 9,510.30

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Solution

The fourth proportional to 30,571.29, 45,864.09 and 9,510.30 is: 14,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.29 : 45,864.09 = 9,510.30 : x
  2. Step 2: Convert to fraction form
    30,571.29/45,864.09 = 9,510.30/x
  3. Step 3: Cross multiply
    30,571.29x = 45,864.09 × 9,510.30
  4. Step 4: Simplify right side
    30,571.29x = 436,181,255.13
  5. Step 5: Solve for x
    x = 436,181,255.13/30,571.29
  6. Step 6: Final answer
    x = 14,267.68

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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.