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Finding the Fourth Proportional to 9,293.01, 12,824.10 and 5,101.26

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Solution

The fourth proportional to 9,293.01, 12,824.10 and 5,101.26 is: 7,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.01 : 12,824.10 = 5,101.26 : x
  2. Step 2: Convert to fraction form
    9,293.01/12,824.10 = 5,101.26/x
  3. Step 3: Cross multiply
    9,293.01x = 12,824.10 × 5,101.26
  4. Step 4: Simplify right side
    9,293.01x = 65,419,068.37
  5. Step 5: Solve for x
    x = 65,419,068.37/9,293.01
  6. Step 6: Final answer
    x = 7,039.60

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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.