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Finding the Fourth Proportional to 9,772, 14,658 and 4,300

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Solution

The fourth proportional to 9,772, 14,658 and 4,300 is: 6,450

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772 : 14,658 = 4,300 : x
  2. Step 2: Convert to fraction form
    9,772/14,658 = 4,300/x
  3. Step 3: Cross multiply
    9,772x = 14,658 × 4,300
  4. Step 4: Simplify right side
    9,772x = 63,029,400
  5. Step 5: Solve for x
    x = 63,029,400/9,772
  6. Step 6: Final answer
    x = 6,450

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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.