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Finding the Fourth Proportional to 6,550.07, 9,825.14 and 1,870.16

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Solution

The fourth proportional to 6,550.07, 9,825.14 and 1,870.16 is: 2,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.07 : 9,825.14 = 1,870.16 : x
  2. Step 2: Convert to fraction form
    6,550.07/9,825.14 = 1,870.16/x
  3. Step 3: Cross multiply
    6,550.07x = 9,825.14 × 1,870.16
  4. Step 4: Simplify right side
    6,550.07x = 18,374,613.06
  5. Step 5: Solve for x
    x = 18,374,613.06/6,550.07
  6. Step 6: Final answer
    x = 2,805.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.