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Finding the Fourth Proportional to 5,785.16, 7,977.30 and 5,663.66

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Solution

The fourth proportional to 5,785.16, 7,977.30 and 5,663.66 is: 7,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.16 : 7,977.30 = 5,663.66 : x
  2. Step 2: Convert to fraction form
    5,785.16/7,977.30 = 5,663.66/x
  3. Step 3: Cross multiply
    5,785.16x = 7,977.30 × 5,663.66
  4. Step 4: Simplify right side
    5,785.16x = 45,180,714.92
  5. Step 5: Solve for x
    x = 45,180,714.92/5,785.16
  6. Step 6: Final answer
    x = 7,809.76

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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.