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Finding the Fourth Proportional to 6,859.54, 9,459.75 and 4,497.58

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Solution

The fourth proportional to 6,859.54, 9,459.75 and 4,497.58 is: 6,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.54 : 9,459.75 = 4,497.58 : x
  2. Step 2: Convert to fraction form
    6,859.54/9,459.75 = 4,497.58/x
  3. Step 3: Cross multiply
    6,859.54x = 9,459.75 × 4,497.58
  4. Step 4: Simplify right side
    6,859.54x = 42,545,982.41
  5. Step 5: Solve for x
    x = 42,545,982.41/6,859.54
  6. Step 6: Final answer
    x = 6,202.45

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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.