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Finding the Fourth Proportional to 13,032.50, 17,984.75 and 7,064.02

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Solution

The fourth proportional to 13,032.50, 17,984.75 and 7,064.02 is: 9,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.50 : 17,984.75 = 7,064.02 : x
  2. Step 2: Convert to fraction form
    13,032.50/17,984.75 = 7,064.02/x
  3. Step 3: Cross multiply
    13,032.50x = 17,984.75 × 7,064.02
  4. Step 4: Simplify right side
    13,032.50x = 127,044,633.70
  5. Step 5: Solve for x
    x = 127,044,633.70/13,032.50
  6. Step 6: Final answer
    x = 9,748.29

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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.