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Finding the Fourth Proportional to 6,553, 9,042.59 and 4,567.82

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Solution

The fourth proportional to 6,553, 9,042.59 and 4,567.82 is: 6,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553 : 9,042.59 = 4,567.82 : x
  2. Step 2: Convert to fraction form
    6,553/9,042.59 = 4,567.82/x
  3. Step 3: Cross multiply
    6,553x = 9,042.59 × 4,567.82
  4. Step 4: Simplify right side
    6,553x = 41,304,923.45
  5. Step 5: Solve for x
    x = 41,304,923.45/6,553
  6. Step 6: Final answer
    x = 6,303.21

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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.