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Finding the Fourth Proportional to 7,764.04, 11,638.72 and 2,567.08

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Solution

The fourth proportional to 7,764.04, 11,638.72 and 2,567.08 is: 3,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.04 : 11,638.72 = 2,567.08 : x
  2. Step 2: Convert to fraction form
    7,764.04/11,638.72 = 2,567.08/x
  3. Step 3: Cross multiply
    7,764.04x = 11,638.72 × 2,567.08
  4. Step 4: Simplify right side
    7,764.04x = 29,877,525.34
  5. Step 5: Solve for x
    x = 29,877,525.34/7,764.04
  6. Step 6: Final answer
    x = 3,848.19

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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.