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Finding the Fourth Proportional to 12,653.44, 17,461.72 and 7,064.44

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Solution

The fourth proportional to 12,653.44, 17,461.72 and 7,064.44 is: 9,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.44 : 17,461.72 = 7,064.44 : x
  2. Step 2: Convert to fraction form
    12,653.44/17,461.72 = 7,064.44/x
  3. Step 3: Cross multiply
    12,653.44x = 17,461.72 × 7,064.44
  4. Step 4: Simplify right side
    12,653.44x = 123,357,273.24
  5. Step 5: Solve for x
    x = 123,357,273.24/12,653.44
  6. Step 6: Final answer
    x = 9,748.91

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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.