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Finding the Fourth Proportional to 7,646.97, 10,551.54 and 4,503.78

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Solution

The fourth proportional to 7,646.97, 10,551.54 and 4,503.78 is: 6,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.97 : 10,551.54 = 4,503.78 : x
  2. Step 2: Convert to fraction form
    7,646.97/10,551.54 = 4,503.78/x
  3. Step 3: Cross multiply
    7,646.97x = 10,551.54 × 4,503.78
  4. Step 4: Simplify right side
    7,646.97x = 47,521,814.82
  5. Step 5: Solve for x
    x = 47,521,814.82/7,646.97
  6. Step 6: Final answer
    x = 6,214.46

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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.