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Finding the Fourth Proportional to 9,692.56, 14,539.74 and 3,117.19

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Solution

The fourth proportional to 9,692.56, 14,539.74 and 3,117.19 is: 4,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.56 : 14,539.74 = 3,117.19 : x
  2. Step 2: Convert to fraction form
    9,692.56/14,539.74 = 3,117.19/x
  3. Step 3: Cross multiply
    9,692.56x = 14,539.74 × 3,117.19
  4. Step 4: Simplify right side
    9,692.56x = 45,323,132.13
  5. Step 5: Solve for x
    x = 45,323,132.13/9,692.56
  6. Step 6: Final answer
    x = 4,676.07

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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.