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Finding the Fourth Proportional to 10,689.40, 16,055.70 and 10,322.20

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Solution

The fourth proportional to 10,689.40, 16,055.70 and 10,322.20 is: 15,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.40 : 16,055.70 = 10,322.20 : x
  2. Step 2: Convert to fraction form
    10,689.40/16,055.70 = 10,322.20/x
  3. Step 3: Cross multiply
    10,689.40x = 16,055.70 × 10,322.20
  4. Step 4: Simplify right side
    10,689.40x = 165,730,146.54
  5. Step 5: Solve for x
    x = 165,730,146.54/10,689.40
  6. Step 6: Final answer
    x = 15,504.16

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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.