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Finding the Fourth Proportional to 6,641.07, 9,164.93 and 3,657.24

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Solution

The fourth proportional to 6,641.07, 9,164.93 and 3,657.24 is: 5,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.07 : 9,164.93 = 3,657.24 : x
  2. Step 2: Convert to fraction form
    6,641.07/9,164.93 = 3,657.24/x
  3. Step 3: Cross multiply
    6,641.07x = 9,164.93 × 3,657.24
  4. Step 4: Simplify right side
    6,641.07x = 33,518,330.31
  5. Step 5: Solve for x
    x = 33,518,330.31/6,641.07
  6. Step 6: Final answer
    x = 5,047.13

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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.