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Finding the Fourth Proportional to 6,738.16, 9,293.16 and 5,657.26

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Solution

The fourth proportional to 6,738.16, 9,293.16 and 5,657.26 is: 7,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.16 : 9,293.16 = 5,657.26 : x
  2. Step 2: Convert to fraction form
    6,738.16/9,293.16 = 5,657.26/x
  3. Step 3: Cross multiply
    6,738.16x = 9,293.16 × 5,657.26
  4. Step 4: Simplify right side
    6,738.16x = 52,573,822.34
  5. Step 5: Solve for x
    x = 52,573,822.34/6,738.16
  6. Step 6: Final answer
    x = 7,802.40

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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.