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Finding the Fourth Proportional to 6,490.09, 8,959.77 and 5,199.93

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Solution

The fourth proportional to 6,490.09, 8,959.77 and 5,199.93 is: 7,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.09 : 8,959.77 = 5,199.93 : x
  2. Step 2: Convert to fraction form
    6,490.09/8,959.77 = 5,199.93/x
  3. Step 3: Cross multiply
    6,490.09x = 8,959.77 × 5,199.93
  4. Step 4: Simplify right side
    6,490.09x = 46,590,176.82
  5. Step 5: Solve for x
    x = 46,590,176.82/6,490.09
  6. Step 6: Final answer
    x = 7,178.66

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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.