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Finding the Fourth Proportional to 5,852.94, 8,813.88 and 4,221

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Solution

The fourth proportional to 5,852.94, 8,813.88 and 4,221 is: 6,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.94 : 8,813.88 = 4,221 : x
  2. Step 2: Convert to fraction form
    5,852.94/8,813.88 = 4,221/x
  3. Step 3: Cross multiply
    5,852.94x = 8,813.88 × 4,221
  4. Step 4: Simplify right side
    5,852.94x = 37,203,387.48
  5. Step 5: Solve for x
    x = 37,203,387.48/5,852.94
  6. Step 6: Final answer
    x = 6,356.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.