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Finding the Fourth Proportional to 9,347.00, 14,024.21 and 3,800.76

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Solution

The fourth proportional to 9,347.00, 14,024.21 and 3,800.76 is: 5,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.00 : 14,024.21 = 3,800.76 : x
  2. Step 2: Convert to fraction form
    9,347.00/14,024.21 = 3,800.76/x
  3. Step 3: Cross multiply
    9,347.00x = 14,024.21 × 3,800.76
  4. Step 4: Simplify right side
    9,347.00x = 53,302,584.81
  5. Step 5: Solve for x
    x = 53,302,584.81/9,347.00
  6. Step 6: Final answer
    x = 5,702.64

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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.