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Finding the Fourth Proportional to 5,566.02, 7,684.69 and 4,967.48

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Solution

The fourth proportional to 5,566.02, 7,684.69 and 4,967.48 is: 6,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.02 : 7,684.69 = 4,967.48 : x
  2. Step 2: Convert to fraction form
    5,566.02/7,684.69 = 4,967.48/x
  3. Step 3: Cross multiply
    5,566.02x = 7,684.69 × 4,967.48
  4. Step 4: Simplify right side
    5,566.02x = 38,173,543.88
  5. Step 5: Solve for x
    x = 38,173,543.88/5,566.02
  6. Step 6: Final answer
    x = 6,858.32

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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.