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Finding the Fourth Proportional to 9,256.63, 12,774.08 and 5,064.88

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Solution

The fourth proportional to 9,256.63, 12,774.08 and 5,064.88 is: 6,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.63 : 12,774.08 = 5,064.88 : x
  2. Step 2: Convert to fraction form
    9,256.63/12,774.08 = 5,064.88/x
  3. Step 3: Cross multiply
    9,256.63x = 12,774.08 × 5,064.88
  4. Step 4: Simplify right side
    9,256.63x = 64,699,163.04
  5. Step 5: Solve for x
    x = 64,699,163.04/9,256.63
  6. Step 6: Final answer
    x = 6,989.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.