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Finding the Fourth Proportional to 7,985.64, 11,021.16 and 4,841.82

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Solution

The fourth proportional to 7,985.64, 11,021.16 and 4,841.82 is: 6,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.64 : 11,021.16 = 4,841.82 : x
  2. Step 2: Convert to fraction form
    7,985.64/11,021.16 = 4,841.82/x
  3. Step 3: Cross multiply
    7,985.64x = 11,021.16 × 4,841.82
  4. Step 4: Simplify right side
    7,985.64x = 53,362,472.91
  5. Step 5: Solve for x
    x = 53,362,472.91/7,985.64
  6. Step 6: Final answer
    x = 6,682.30

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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.