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Finding the Fourth Proportional to 9,975.40, 14,984.70 and 9,608.20

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Solution

The fourth proportional to 9,975.40, 14,984.70 and 9,608.20 is: 14,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.40 : 14,984.70 = 9,608.20 : x
  2. Step 2: Convert to fraction form
    9,975.40/14,984.70 = 9,608.20/x
  3. Step 3: Cross multiply
    9,975.40x = 14,984.70 × 9,608.20
  4. Step 4: Simplify right side
    9,975.40x = 143,975,994.54
  5. Step 5: Solve for x
    x = 143,975,994.54/9,975.40
  6. Step 6: Final answer
    x = 14,433.10

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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.