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Finding the Fourth Proportional to 6,538.72, 9,808.14 and 4,656.67

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Solution

The fourth proportional to 6,538.72, 9,808.14 and 4,656.67 is: 6,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.72 : 9,808.14 = 4,656.67 : x
  2. Step 2: Convert to fraction form
    6,538.72/9,808.14 = 4,656.67/x
  3. Step 3: Cross multiply
    6,538.72x = 9,808.14 × 4,656.67
  4. Step 4: Simplify right side
    6,538.72x = 45,673,271.29
  5. Step 5: Solve for x
    x = 45,673,271.29/6,538.72
  6. Step 6: Final answer
    x = 6,985.05

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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.