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Finding the Fourth Proportional to 14,511.50, 21,767.49 and 6,303.50

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Solution

The fourth proportional to 14,511.50, 21,767.49 and 6,303.50 is: 9,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.50 : 21,767.49 = 6,303.50 : x
  2. Step 2: Convert to fraction form
    14,511.50/21,767.49 = 6,303.50/x
  3. Step 3: Cross multiply
    14,511.50x = 21,767.49 × 6,303.50
  4. Step 4: Simplify right side
    14,511.50x = 137,211,373.22
  5. Step 5: Solve for x
    x = 137,211,373.22/14,511.50
  6. Step 6: Final answer
    x = 9,455.35

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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.