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Finding the Fourth Proportional to 9,675.01, 14,511.68 and 6,852.17

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Solution

The fourth proportional to 9,675.01, 14,511.68 and 6,852.17 is: 10,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.01 : 14,511.68 = 6,852.17 : x
  2. Step 2: Convert to fraction form
    9,675.01/14,511.68 = 6,852.17/x
  3. Step 3: Cross multiply
    9,675.01x = 14,511.68 × 6,852.17
  4. Step 4: Simplify right side
    9,675.01x = 99,436,500.36
  5. Step 5: Solve for x
    x = 99,436,500.36/9,675.01
  6. Step 6: Final answer
    x = 10,277.67

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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.