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Finding the Fourth Proportional to 7,777.80, 11,672.64 and 5,703.30

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Solution

The fourth proportional to 7,777.80, 11,672.64 and 5,703.30 is: 8,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.80 : 11,672.64 = 5,703.30 : x
  2. Step 2: Convert to fraction form
    7,777.80/11,672.64 = 5,703.30/x
  3. Step 3: Cross multiply
    7,777.80x = 11,672.64 × 5,703.30
  4. Step 4: Simplify right side
    7,777.80x = 66,572,567.71
  5. Step 5: Solve for x
    x = 66,572,567.71/7,777.80
  6. Step 6: Final answer
    x = 8,559.31

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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.