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Finding the Fourth Proportional to 13,032.56, 17,984.92 and 7,064.23

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Solution

The fourth proportional to 13,032.56, 17,984.92 and 7,064.23 is: 9,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.56 : 17,984.92 = 7,064.23 : x
  2. Step 2: Convert to fraction form
    13,032.56/17,984.92 = 7,064.23/x
  3. Step 3: Cross multiply
    13,032.56x = 17,984.92 × 7,064.23
  4. Step 4: Simplify right side
    13,032.56x = 127,049,595.76
  5. Step 5: Solve for x
    x = 127,049,595.76/13,032.56
  6. Step 6: Final answer
    x = 9,748.63

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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.