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Finding the Fourth Proportional to 7,570.50, 10,448.74 and 5,013.76

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Solution

The fourth proportional to 7,570.50, 10,448.74 and 5,013.76 is: 6,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.50 : 10,448.74 = 5,013.76 : x
  2. Step 2: Convert to fraction form
    7,570.50/10,448.74 = 5,013.76/x
  3. Step 3: Cross multiply
    7,570.50x = 10,448.74 × 5,013.76
  4. Step 4: Simplify right side
    7,570.50x = 52,387,474.66
  5. Step 5: Solve for x
    x = 52,387,474.66/7,570.50
  6. Step 6: Final answer
    x = 6,919.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.