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Finding the Fourth Proportional to 9,448.80, 14,173.02 and 2,428.80

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Solution

The fourth proportional to 9,448.80, 14,173.02 and 2,428.80 is: 3,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.80 : 14,173.02 = 2,428.80 : x
  2. Step 2: Convert to fraction form
    9,448.80/14,173.02 = 2,428.80/x
  3. Step 3: Cross multiply
    9,448.80x = 14,173.02 × 2,428.80
  4. Step 4: Simplify right side
    9,448.80x = 34,423,430.98
  5. Step 5: Solve for x
    x = 34,423,430.98/9,448.80
  6. Step 6: Final answer
    x = 3,643.15

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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.