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Finding the Fourth Proportional to 9,670.08, 14,494 and 4,465

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Solution

The fourth proportional to 9,670.08, 14,494 and 4,465 is: 6,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.08 : 14,494 = 4,465 : x
  2. Step 2: Convert to fraction form
    9,670.08/14,494 = 4,465/x
  3. Step 3: Cross multiply
    9,670.08x = 14,494 × 4,465
  4. Step 4: Simplify right side
    9,670.08x = 64,715,710
  5. Step 5: Solve for x
    x = 64,715,710/9,670.08
  6. Step 6: Final answer
    x = 6,692.37

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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.