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Finding the Fourth Proportional to 8,501.64, 12,749.31 and 2,953.50

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Solution

The fourth proportional to 8,501.64, 12,749.31 and 2,953.50 is: 4,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.64 : 12,749.31 = 2,953.50 : x
  2. Step 2: Convert to fraction form
    8,501.64/12,749.31 = 2,953.50/x
  3. Step 3: Cross multiply
    8,501.64x = 12,749.31 × 2,953.50
  4. Step 4: Simplify right side
    8,501.64x = 37,655,087.09
  5. Step 5: Solve for x
    x = 37,655,087.09/8,501.64
  6. Step 6: Final answer
    x = 4,429.16

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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.