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Finding the Fourth Proportional to 9,823.50, 14,737.95 and 2,898

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Solution

The fourth proportional to 9,823.50, 14,737.95 and 2,898 is: 4,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.50 : 14,737.95 = 2,898 : x
  2. Step 2: Convert to fraction form
    9,823.50/14,737.95 = 2,898/x
  3. Step 3: Cross multiply
    9,823.50x = 14,737.95 × 2,898
  4. Step 4: Simplify right side
    9,823.50x = 42,710,579.10
  5. Step 5: Solve for x
    x = 42,710,579.10/9,823.50
  6. Step 6: Final answer
    x = 4,347.80

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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.