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Finding the Fourth Proportional to 5,493.12, 7,565.31 and 4,746.84

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Solution

The fourth proportional to 5,493.12, 7,565.31 and 4,746.84 is: 6,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.12 : 7,565.31 = 4,746.84 : x
  2. Step 2: Convert to fraction form
    5,493.12/7,565.31 = 4,746.84/x
  3. Step 3: Cross multiply
    5,493.12x = 7,565.31 × 4,746.84
  4. Step 4: Simplify right side
    5,493.12x = 35,911,316.12
  5. Step 5: Solve for x
    x = 35,911,316.12/5,493.12
  6. Step 6: Final answer
    x = 6,537.51

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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.