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Finding the Fourth Proportional to 6,573.96, 9,069.84 and 4,020.78

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Solution

The fourth proportional to 6,573.96, 9,069.84 and 4,020.78 is: 5,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.96 : 9,069.84 = 4,020.78 : x
  2. Step 2: Convert to fraction form
    6,573.96/9,069.84 = 4,020.78/x
  3. Step 3: Cross multiply
    6,573.96x = 9,069.84 × 4,020.78
  4. Step 4: Simplify right side
    6,573.96x = 36,467,831.28
  5. Step 5: Solve for x
    x = 36,467,831.28/6,573.96
  6. Step 6: Final answer
    x = 5,547.32

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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.