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Finding the Fourth Proportional to 10,537.75, 15,807.03 and 2,746.63

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Solution

The fourth proportional to 10,537.75, 15,807.03 and 2,746.63 is: 4,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.75 : 15,807.03 = 2,746.63 : x
  2. Step 2: Convert to fraction form
    10,537.75/15,807.03 = 2,746.63/x
  3. Step 3: Cross multiply
    10,537.75x = 15,807.03 × 2,746.63
  4. Step 4: Simplify right side
    10,537.75x = 43,416,062.81
  5. Step 5: Solve for x
    x = 43,416,062.81/10,537.75
  6. Step 6: Final answer
    x = 4,120.05

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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.