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Finding the Fourth Proportional to 9,642.54, 14,467.11 and 4,444.50

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Solution

The fourth proportional to 9,642.54, 14,467.11 and 4,444.50 is: 6,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.54 : 14,467.11 = 4,444.50 : x
  2. Step 2: Convert to fraction form
    9,642.54/14,467.11 = 4,444.50/x
  3. Step 3: Cross multiply
    9,642.54x = 14,467.11 × 4,444.50
  4. Step 4: Simplify right side
    9,642.54x = 64,299,070.40
  5. Step 5: Solve for x
    x = 64,299,070.40/9,642.54
  6. Step 6: Final answer
    x = 6,668.27

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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.