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Finding the Fourth Proportional to 9,934.32, 14,887.64 and 7,466.26

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Solution

The fourth proportional to 9,934.32, 14,887.64 and 7,466.26 is: 11,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.32 : 14,887.64 = 7,466.26 : x
  2. Step 2: Convert to fraction form
    9,934.32/14,887.64 = 7,466.26/x
  3. Step 3: Cross multiply
    9,934.32x = 14,887.64 × 7,466.26
  4. Step 4: Simplify right side
    9,934.32x = 111,154,991.03
  5. Step 5: Solve for x
    x = 111,154,991.03/9,934.32
  6. Step 6: Final answer
    x = 11,188.99

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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.