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Finding the Fourth Proportional to 37,211.40, 55,817.01 and 9,509.40

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Solution

The fourth proportional to 37,211.40, 55,817.01 and 9,509.40 is: 14,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,211.40 : 55,817.01 = 9,509.40 : x
  2. Step 2: Convert to fraction form
    37,211.40/55,817.01 = 9,509.40/x
  3. Step 3: Cross multiply
    37,211.40x = 55,817.01 × 9,509.40
  4. Step 4: Simplify right side
    37,211.40x = 530,786,274.89
  5. Step 5: Solve for x
    x = 530,786,274.89/37,211.40
  6. Step 6: Final answer
    x = 14,264.08

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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.