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Finding the Fourth Proportional to 6,089.76, 8,406.72 and 6,070.32

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Solution

The fourth proportional to 6,089.76, 8,406.72 and 6,070.32 is: 8,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.76 : 8,406.72 = 6,070.32 : x
  2. Step 2: Convert to fraction form
    6,089.76/8,406.72 = 6,070.32/x
  3. Step 3: Cross multiply
    6,089.76x = 8,406.72 × 6,070.32
  4. Step 4: Simplify right side
    6,089.76x = 51,031,480.55
  5. Step 5: Solve for x
    x = 51,031,480.55/6,089.76
  6. Step 6: Final answer
    x = 8,379.88

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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.