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Finding the Fourth Proportional to 9,699.92, 14,547.57 and 2,679.78

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Solution

The fourth proportional to 9,699.92, 14,547.57 and 2,679.78 is: 4,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.92 : 14,547.57 = 2,679.78 : x
  2. Step 2: Convert to fraction form
    9,699.92/14,547.57 = 2,679.78/x
  3. Step 3: Cross multiply
    9,699.92x = 14,547.57 × 2,679.78
  4. Step 4: Simplify right side
    9,699.92x = 38,984,214.40
  5. Step 5: Solve for x
    x = 38,984,214.40/9,699.92
  6. Step 6: Final answer
    x = 4,019.03

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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.