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Finding the Fourth Proportional to 10,203.10, 15,284.40 and 8,985.40

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Solution

The fourth proportional to 10,203.10, 15,284.40 and 8,985.40 is: 13,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.10 : 15,284.40 = 8,985.40 : x
  2. Step 2: Convert to fraction form
    10,203.10/15,284.40 = 8,985.40/x
  3. Step 3: Cross multiply
    10,203.10x = 15,284.40 × 8,985.40
  4. Step 4: Simplify right side
    10,203.10x = 137,336,447.76
  5. Step 5: Solve for x
    x = 137,336,447.76/10,203.10
  6. Step 6: Final answer
    x = 13,460.27

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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.