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Finding the Fourth Proportional to 6,453.84, 9,666.12 and 6,308.04

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Solution

The fourth proportional to 6,453.84, 9,666.12 and 6,308.04 is: 9,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.84 : 9,666.12 = 6,308.04 : x
  2. Step 2: Convert to fraction form
    6,453.84/9,666.12 = 6,308.04/x
  3. Step 3: Cross multiply
    6,453.84x = 9,666.12 × 6,308.04
  4. Step 4: Simplify right side
    6,453.84x = 60,974,271.60
  5. Step 5: Solve for x
    x = 60,974,271.60/6,453.84
  6. Step 6: Final answer
    x = 9,447.75

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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.