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Finding the Fourth Proportional to 5,456.16, 7,533 and 4,761.18

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Solution

The fourth proportional to 5,456.16, 7,533 and 4,761.18 is: 6,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.16 : 7,533 = 4,761.18 : x
  2. Step 2: Convert to fraction form
    5,456.16/7,533 = 4,761.18/x
  3. Step 3: Cross multiply
    5,456.16x = 7,533 × 4,761.18
  4. Step 4: Simplify right side
    5,456.16x = 35,865,968.94
  5. Step 5: Solve for x
    x = 35,865,968.94/5,456.16
  6. Step 6: Final answer
    x = 6,573.48

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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.