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Finding the Fourth Proportional to 14,202.12, 21,312.66 and 4,968.12

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Solution

The fourth proportional to 14,202.12, 21,312.66 and 4,968.12 is: 7,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.12 : 21,312.66 = 4,968.12 : x
  2. Step 2: Convert to fraction form
    14,202.12/21,312.66 = 4,968.12/x
  3. Step 3: Cross multiply
    14,202.12x = 21,312.66 × 4,968.12
  4. Step 4: Simplify right side
    14,202.12x = 105,883,852.40
  5. Step 5: Solve for x
    x = 105,883,852.40/14,202.12
  6. Step 6: Final answer
    x = 7,455.50

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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.