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Finding the Fourth Proportional to 6,530.09, 9,844.07 and 6,095.60

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Solution

The fourth proportional to 6,530.09, 9,844.07 and 6,095.60 is: 9,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.09 : 9,844.07 = 6,095.60 : x
  2. Step 2: Convert to fraction form
    6,530.09/9,844.07 = 6,095.60/x
  3. Step 3: Cross multiply
    6,530.09x = 9,844.07 × 6,095.60
  4. Step 4: Simplify right side
    6,530.09x = 60,005,513.09
  5. Step 5: Solve for x
    x = 60,005,513.09/6,530.09
  6. Step 6: Final answer
    x = 9,189.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.