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Finding the Fourth Proportional to 9,071.58, 13,615.58 and 4,692.12

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Solution

The fourth proportional to 9,071.58, 13,615.58 and 4,692.12 is: 7,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.58 : 13,615.58 = 4,692.12 : x
  2. Step 2: Convert to fraction form
    9,071.58/13,615.58 = 4,692.12/x
  3. Step 3: Cross multiply
    9,071.58x = 13,615.58 × 4,692.12
  4. Step 4: Simplify right side
    9,071.58x = 63,885,935.23
  5. Step 5: Solve for x
    x = 63,885,935.23/9,071.58
  6. Step 6: Final answer
    x = 7,042.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.