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Finding the Fourth Proportional to 9,876.83, 14,795.73 and 5,714.24

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Solution

The fourth proportional to 9,876.83, 14,795.73 and 5,714.24 is: 8,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.83 : 14,795.73 = 5,714.24 : x
  2. Step 2: Convert to fraction form
    9,876.83/14,795.73 = 5,714.24/x
  3. Step 3: Cross multiply
    9,876.83x = 14,795.73 × 5,714.24
  4. Step 4: Simplify right side
    9,876.83x = 84,546,278.22
  5. Step 5: Solve for x
    x = 84,546,278.22/9,876.83
  6. Step 6: Final answer
    x = 8,560.07

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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.