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Finding the Fourth Proportional to 5,914.95, 8,154.15 and 4,653.82

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Solution

The fourth proportional to 5,914.95, 8,154.15 and 4,653.82 is: 6,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.95 : 8,154.15 = 4,653.82 : x
  2. Step 2: Convert to fraction form
    5,914.95/8,154.15 = 4,653.82/x
  3. Step 3: Cross multiply
    5,914.95x = 8,154.15 × 4,653.82
  4. Step 4: Simplify right side
    5,914.95x = 37,947,946.35
  5. Step 5: Solve for x
    x = 37,947,946.35/5,914.95
  6. Step 6: Final answer
    x = 6,415.60

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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.