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Finding the Fourth Proportional to 9,641.12, 13,303.20 and 5,448.80

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Solution

The fourth proportional to 9,641.12, 13,303.20 and 5,448.80 is: 7,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.12 : 13,303.20 = 5,448.80 : x
  2. Step 2: Convert to fraction form
    9,641.12/13,303.20 = 5,448.80/x
  3. Step 3: Cross multiply
    9,641.12x = 13,303.20 × 5,448.80
  4. Step 4: Simplify right side
    9,641.12x = 72,486,476.16
  5. Step 5: Solve for x
    x = 72,486,476.16/9,641.12
  6. Step 6: Final answer
    x = 7,518.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.