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Finding the Fourth Proportional to 9,666.23, 14,492.04 and 4,984.22

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Solution

The fourth proportional to 9,666.23, 14,492.04 and 4,984.22 is: 7,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.23 : 14,492.04 = 4,984.22 : x
  2. Step 2: Convert to fraction form
    9,666.23/14,492.04 = 4,984.22/x
  3. Step 3: Cross multiply
    9,666.23x = 14,492.04 × 4,984.22
  4. Step 4: Simplify right side
    9,666.23x = 72,231,443.15
  5. Step 5: Solve for x
    x = 72,231,443.15/9,666.23
  6. Step 6: Final answer
    x = 7,472.56

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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.