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Finding the Fourth Proportional to 7,773.54, 10,725.71 and 4,415.55

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Solution

The fourth proportional to 7,773.54, 10,725.71 and 4,415.55 is: 6,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.54 : 10,725.71 = 4,415.55 : x
  2. Step 2: Convert to fraction form
    7,773.54/10,725.71 = 4,415.55/x
  3. Step 3: Cross multiply
    7,773.54x = 10,725.71 × 4,415.55
  4. Step 4: Simplify right side
    7,773.54x = 47,359,886.71
  5. Step 5: Solve for x
    x = 47,359,886.71/7,773.54
  6. Step 6: Final answer
    x = 6,092.45

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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.