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Finding the Fourth Proportional to 9,553, 14,324.97 and 3,547.10

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Solution

The fourth proportional to 9,553, 14,324.97 and 3,547.10 is: 5,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553 : 14,324.97 = 3,547.10 : x
  2. Step 2: Convert to fraction form
    9,553/14,324.97 = 3,547.10/x
  3. Step 3: Cross multiply
    9,553x = 14,324.97 × 3,547.10
  4. Step 4: Simplify right side
    9,553x = 50,812,101.09
  5. Step 5: Solve for x
    x = 50,812,101.09/9,553
  6. Step 6: Final answer
    x = 5,318.97

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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.