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Finding the Fourth Proportional to 9,698.10, 14,547.14 and 3,125.25

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Solution

The fourth proportional to 9,698.10, 14,547.14 and 3,125.25 is: 4,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.10 : 14,547.14 = 3,125.25 : x
  2. Step 2: Convert to fraction form
    9,698.10/14,547.14 = 3,125.25/x
  3. Step 3: Cross multiply
    9,698.10x = 14,547.14 × 3,125.25
  4. Step 4: Simplify right side
    9,698.10x = 45,463,433.66
  5. Step 5: Solve for x
    x = 45,463,433.66/9,698.10
  6. Step 6: Final answer
    x = 4,687.87

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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.