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Finding the Fourth Proportional to 9,699.56, 14,538.06 and 5,542.50

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Solution

The fourth proportional to 9,699.56, 14,538.06 and 5,542.50 is: 8,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.56 : 14,538.06 = 5,542.50 : x
  2. Step 2: Convert to fraction form
    9,699.56/14,538.06 = 5,542.50/x
  3. Step 3: Cross multiply
    9,699.56x = 14,538.06 × 5,542.50
  4. Step 4: Simplify right side
    9,699.56x = 80,577,197.55
  5. Step 5: Solve for x
    x = 80,577,197.55/9,699.56
  6. Step 6: Final answer
    x = 8,307.30

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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.