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Finding the Fourth Proportional to 9,699, 14,549.04 and 2,774.04

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Solution

The fourth proportional to 9,699, 14,549.04 and 2,774.04 is: 4,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699 : 14,549.04 = 2,774.04 : x
  2. Step 2: Convert to fraction form
    9,699/14,549.04 = 2,774.04/x
  3. Step 3: Cross multiply
    9,699x = 14,549.04 × 2,774.04
  4. Step 4: Simplify right side
    9,699x = 40,359,618.92
  5. Step 5: Solve for x
    x = 40,359,618.92/9,699
  6. Step 6: Final answer
    x = 4,161.21

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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.