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Finding the Fourth Proportional to 9,809.55, 13,536.14 and 5,830.11

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Solution

The fourth proportional to 9,809.55, 13,536.14 and 5,830.11 is: 8,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.55 : 13,536.14 = 5,830.11 : x
  2. Step 2: Convert to fraction form
    9,809.55/13,536.14 = 5,830.11/x
  3. Step 3: Cross multiply
    9,809.55x = 13,536.14 × 5,830.11
  4. Step 4: Simplify right side
    9,809.55x = 78,917,156.02
  5. Step 5: Solve for x
    x = 78,917,156.02/9,809.55
  6. Step 6: Final answer
    x = 8,044.93

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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.