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Finding the Fourth Proportional to 9,809.74, 14,706.31 and 4,258.89

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Solution

The fourth proportional to 9,809.74, 14,706.31 and 4,258.89 is: 6,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.74 : 14,706.31 = 4,258.89 : x
  2. Step 2: Convert to fraction form
    9,809.74/14,706.31 = 4,258.89/x
  3. Step 3: Cross multiply
    9,809.74x = 14,706.31 × 4,258.89
  4. Step 4: Simplify right side
    9,809.74x = 62,632,556.60
  5. Step 5: Solve for x
    x = 62,632,556.60/9,809.74
  6. Step 6: Final answer
    x = 6,384.73

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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.