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Finding the Fourth Proportional to 9,658.54, 14,487.74 and 6,347.67

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Solution

The fourth proportional to 9,658.54, 14,487.74 and 6,347.67 is: 9,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.54 : 14,487.74 = 6,347.67 : x
  2. Step 2: Convert to fraction form
    9,658.54/14,487.74 = 6,347.67/x
  3. Step 3: Cross multiply
    9,658.54x = 14,487.74 × 6,347.67
  4. Step 4: Simplify right side
    9,658.54x = 91,963,392.57
  5. Step 5: Solve for x
    x = 91,963,392.57/9,658.54
  6. Step 6: Final answer
    x = 9,521.46

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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.