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Finding the Fourth Proportional to 17,101.10, 23,599.40 and 9,547

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Solution

The fourth proportional to 17,101.10, 23,599.40 and 9,547 is: 13,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.10 : 23,599.40 = 9,547 : x
  2. Step 2: Convert to fraction form
    17,101.10/23,599.40 = 9,547/x
  3. Step 3: Cross multiply
    17,101.10x = 23,599.40 × 9,547
  4. Step 4: Simplify right side
    17,101.10x = 225,303,471.80
  5. Step 5: Solve for x
    x = 225,303,471.80/17,101.10
  6. Step 6: Final answer
    x = 13,174.79

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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.