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Finding the Fourth Proportional to 10,483.74, 15,725.64 and 9,958.20

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Solution

The fourth proportional to 10,483.74, 15,725.64 and 9,958.20 is: 14,937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.74 : 15,725.64 = 9,958.20 : x
  2. Step 2: Convert to fraction form
    10,483.74/15,725.64 = 9,958.20/x
  3. Step 3: Cross multiply
    10,483.74x = 15,725.64 × 9,958.20
  4. Step 4: Simplify right side
    10,483.74x = 156,599,068.25
  5. Step 5: Solve for x
    x = 156,599,068.25/10,483.74
  6. Step 6: Final answer
    x = 14,937.33

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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.