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Finding the Fourth Proportional to 5,714.64, 8,567.10 and 5,442.48

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Solution

The fourth proportional to 5,714.64, 8,567.10 and 5,442.48 is: 8,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.64 : 8,567.10 = 5,442.48 : x
  2. Step 2: Convert to fraction form
    5,714.64/8,567.10 = 5,442.48/x
  3. Step 3: Cross multiply
    5,714.64x = 8,567.10 × 5,442.48
  4. Step 4: Simplify right side
    5,714.64x = 46,626,270.41
  5. Step 5: Solve for x
    x = 46,626,270.41/5,714.64
  6. Step 6: Final answer
    x = 8,159.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.