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Finding the Fourth Proportional to 7,461.48, 11,185.74 and 4,377

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Solution

The fourth proportional to 7,461.48, 11,185.74 and 4,377 is: 6,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.48 : 11,185.74 = 4,377 : x
  2. Step 2: Convert to fraction form
    7,461.48/11,185.74 = 4,377/x
  3. Step 3: Cross multiply
    7,461.48x = 11,185.74 × 4,377
  4. Step 4: Simplify right side
    7,461.48x = 48,959,983.98
  5. Step 5: Solve for x
    x = 48,959,983.98/7,461.48
  6. Step 6: Final answer
    x = 6,561.70

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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.