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Finding the Fourth Proportional to 8,490.72, 12,738 and 2,944.16

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Solution

The fourth proportional to 8,490.72, 12,738 and 2,944.16 is: 4,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.72 : 12,738 = 2,944.16 : x
  2. Step 2: Convert to fraction form
    8,490.72/12,738 = 2,944.16/x
  3. Step 3: Cross multiply
    8,490.72x = 12,738 × 2,944.16
  4. Step 4: Simplify right side
    8,490.72x = 37,502,710.08
  5. Step 5: Solve for x
    x = 37,502,710.08/8,490.72
  6. Step 6: Final answer
    x = 4,416.91

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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.