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Finding the Fourth Proportional to 6,146.61, 9,221.93 and 5,048.10

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Solution

The fourth proportional to 6,146.61, 9,221.93 and 5,048.10 is: 7,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.61 : 9,221.93 = 5,048.10 : x
  2. Step 2: Convert to fraction form
    6,146.61/9,221.93 = 5,048.10/x
  3. Step 3: Cross multiply
    6,146.61x = 9,221.93 × 5,048.10
  4. Step 4: Simplify right side
    6,146.61x = 46,553,199.59
  5. Step 5: Solve for x
    x = 46,553,199.59/6,146.61
  6. Step 6: Final answer
    x = 7,573.80

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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.