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Finding the Fourth Proportional to 7,692.96, 10,607.40 and 6,570.48

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Solution

The fourth proportional to 7,692.96, 10,607.40 and 6,570.48 is: 9,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.96 : 10,607.40 = 6,570.48 : x
  2. Step 2: Convert to fraction form
    7,692.96/10,607.40 = 6,570.48/x
  3. Step 3: Cross multiply
    7,692.96x = 10,607.40 × 6,570.48
  4. Step 4: Simplify right side
    7,692.96x = 69,695,709.55
  5. Step 5: Solve for x
    x = 69,695,709.55/7,692.96
  6. Step 6: Final answer
    x = 9,059.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.