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Finding the Fourth Proportional to 9,785.88, 14,615.37 and 8,473.68

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Solution

The fourth proportional to 9,785.88, 14,615.37 and 8,473.68 is: 12,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.88 : 14,615.37 = 8,473.68 : x
  2. Step 2: Convert to fraction form
    9,785.88/14,615.37 = 8,473.68/x
  3. Step 3: Cross multiply
    9,785.88x = 14,615.37 × 8,473.68
  4. Step 4: Simplify right side
    9,785.88x = 123,845,968.46
  5. Step 5: Solve for x
    x = 123,845,968.46/9,785.88
  6. Step 6: Final answer
    x = 12,655.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.