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Finding the Fourth Proportional to 9,698.47, 14,547.84 and 2,772.97

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Solution

The fourth proportional to 9,698.47, 14,547.84 and 2,772.97 is: 4,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.47 : 14,547.84 = 2,772.97 : x
  2. Step 2: Convert to fraction form
    9,698.47/14,547.84 = 2,772.97/x
  3. Step 3: Cross multiply
    9,698.47x = 14,547.84 × 2,772.97
  4. Step 4: Simplify right side
    9,698.47x = 40,340,655.47
  5. Step 5: Solve for x
    x = 40,340,655.47/9,698.47
  6. Step 6: Final answer
    x = 4,159.49

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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.