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Finding the Fourth Proportional to 9,893.64, 13,649.94 and 7,061.52

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Solution

The fourth proportional to 9,893.64, 13,649.94 and 7,061.52 is: 9,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.64 : 13,649.94 = 7,061.52 : x
  2. Step 2: Convert to fraction form
    9,893.64/13,649.94 = 7,061.52/x
  3. Step 3: Cross multiply
    9,893.64x = 13,649.94 × 7,061.52
  4. Step 4: Simplify right side
    9,893.64x = 96,389,324.31
  5. Step 5: Solve for x
    x = 96,389,324.31/9,893.64
  6. Step 6: Final answer
    x = 9,742.55

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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.