Home / 9,823-14,734.50-2,897.40

Finding the Fourth Proportional to 9,823, 14,734.50 and 2,897.40

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Solution

The fourth proportional to 9,823, 14,734.50 and 2,897.40 is: 4,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823 : 14,734.50 = 2,897.40 : x
  2. Step 2: Convert to fraction form
    9,823/14,734.50 = 2,897.40/x
  3. Step 3: Cross multiply
    9,823x = 14,734.50 × 2,897.40
  4. Step 4: Simplify right side
    9,823x = 42,691,740.30
  5. Step 5: Solve for x
    x = 42,691,740.30/9,823
  6. Step 6: Final answer
    x = 4,346.10

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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.