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Finding the Fourth Proportional to 7,116.72, 9,822.05 and 3,973.11

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Solution

The fourth proportional to 7,116.72, 9,822.05 and 3,973.11 is: 5,483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.72 : 9,822.05 = 3,973.11 : x
  2. Step 2: Convert to fraction form
    7,116.72/9,822.05 = 3,973.11/x
  3. Step 3: Cross multiply
    7,116.72x = 9,822.05 × 3,973.11
  4. Step 4: Simplify right side
    7,116.72x = 39,024,085.08
  5. Step 5: Solve for x
    x = 39,024,085.08/7,116.72
  6. Step 6: Final answer
    x = 5,483.44

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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.