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Finding the Fourth Proportional to 13,547.49, 18,694.78 and 7,497.39

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Solution

The fourth proportional to 13,547.49, 18,694.78 and 7,497.39 is: 10,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.49 : 18,694.78 = 7,497.39 : x
  2. Step 2: Convert to fraction form
    13,547.49/18,694.78 = 7,497.39/x
  3. Step 3: Cross multiply
    13,547.49x = 18,694.78 × 7,497.39
  4. Step 4: Simplify right side
    13,547.49x = 140,162,019.14
  5. Step 5: Solve for x
    x = 140,162,019.14/13,547.49
  6. Step 6: Final answer
    x = 10,345.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.