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Finding the Fourth Proportional to 9,809.76, 14,714.76 and 5,435.76

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Solution

The fourth proportional to 9,809.76, 14,714.76 and 5,435.76 is: 8,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.76 : 14,714.76 = 5,435.76 : x
  2. Step 2: Convert to fraction form
    9,809.76/14,714.76 = 5,435.76/x
  3. Step 3: Cross multiply
    9,809.76x = 14,714.76 × 5,435.76
  4. Step 4: Simplify right side
    9,809.76x = 79,985,903.82
  5. Step 5: Solve for x
    x = 79,985,903.82/9,809.76
  6. Step 6: Final answer
    x = 8,153.71

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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.