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Finding the Fourth Proportional to 5,690.90, 7,848.32 and 4,854.62

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Solution

The fourth proportional to 5,690.90, 7,848.32 and 4,854.62 is: 6,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.90 : 7,848.32 = 4,854.62 : x
  2. Step 2: Convert to fraction form
    5,690.90/7,848.32 = 4,854.62/x
  3. Step 3: Cross multiply
    5,690.90x = 7,848.32 × 4,854.62
  4. Step 4: Simplify right side
    5,690.90x = 38,100,611.24
  5. Step 5: Solve for x
    x = 38,100,611.24/5,690.90
  6. Step 6: Final answer
    x = 6,695.01

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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.