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Finding the Fourth Proportional to 6,151.64, 8,488.95 and 3,498.98

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Solution

The fourth proportional to 6,151.64, 8,488.95 and 3,498.98 is: 4,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.64 : 8,488.95 = 3,498.98 : x
  2. Step 2: Convert to fraction form
    6,151.64/8,488.95 = 3,498.98/x
  3. Step 3: Cross multiply
    6,151.64x = 8,488.95 × 3,498.98
  4. Step 4: Simplify right side
    6,151.64x = 29,702,623.83
  5. Step 5: Solve for x
    x = 29,702,623.83/6,151.64
  6. Step 6: Final answer
    x = 4,828.41

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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.