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Finding the Fourth Proportional to 9,779.84, 14,669.54 and 2,384.34

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Solution

The fourth proportional to 9,779.84, 14,669.54 and 2,384.34 is: 3,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.84 : 14,669.54 = 2,384.34 : x
  2. Step 2: Convert to fraction form
    9,779.84/14,669.54 = 2,384.34/x
  3. Step 3: Cross multiply
    9,779.84x = 14,669.54 × 2,384.34
  4. Step 4: Simplify right side
    9,779.84x = 34,977,113.01
  5. Step 5: Solve for x
    x = 34,977,113.01/9,779.84
  6. Step 6: Final answer
    x = 3,576.45

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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.