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Finding the Fourth Proportional to 14,223.22, 21,334.74 and 7,652.50

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Solution

The fourth proportional to 14,223.22, 21,334.74 and 7,652.50 is: 11,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.22 : 21,334.74 = 7,652.50 : x
  2. Step 2: Convert to fraction form
    14,223.22/21,334.74 = 7,652.50/x
  3. Step 3: Cross multiply
    14,223.22x = 21,334.74 × 7,652.50
  4. Step 4: Simplify right side
    14,223.22x = 163,264,097.85
  5. Step 5: Solve for x
    x = 163,264,097.85/14,223.22
  6. Step 6: Final answer
    x = 11,478.70

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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.