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Finding the Fourth Proportional to 9,779.97, 14,669.96 and 2,384.49

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Solution

The fourth proportional to 9,779.97, 14,669.96 and 2,384.49 is: 3,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.97 : 14,669.96 = 2,384.49 : x
  2. Step 2: Convert to fraction form
    9,779.97/14,669.96 = 2,384.49/x
  3. Step 3: Cross multiply
    9,779.97x = 14,669.96 × 2,384.49
  4. Step 4: Simplify right side
    9,779.97x = 34,980,361.00
  5. Step 5: Solve for x
    x = 34,980,361.00/9,779.97
  6. Step 6: Final answer
    x = 3,576.74

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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.