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Finding the Fourth Proportional to 5,566.54, 7,664.34 and 4,725.50

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Solution

The fourth proportional to 5,566.54, 7,664.34 and 4,725.50 is: 6,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.54 : 7,664.34 = 4,725.50 : x
  2. Step 2: Convert to fraction form
    5,566.54/7,664.34 = 4,725.50/x
  3. Step 3: Cross multiply
    5,566.54x = 7,664.34 × 4,725.50
  4. Step 4: Simplify right side
    5,566.54x = 36,217,838.67
  5. Step 5: Solve for x
    x = 36,217,838.67/5,566.54
  6. Step 6: Final answer
    x = 6,506.35

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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.