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Finding the Fourth Proportional to 9,660.47, 14,490.70 and 4,465.67

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Solution

The fourth proportional to 9,660.47, 14,490.70 and 4,465.67 is: 6,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.47 : 14,490.70 = 4,465.67 : x
  2. Step 2: Convert to fraction form
    9,660.47/14,490.70 = 4,465.67/x
  3. Step 3: Cross multiply
    9,660.47x = 14,490.70 × 4,465.67
  4. Step 4: Simplify right side
    9,660.47x = 64,710,600.65
  5. Step 5: Solve for x
    x = 64,710,600.65/9,660.47
  6. Step 6: Final answer
    x = 6,698.50

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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.