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Finding the Fourth Proportional to 9,875.01, 13,627.20 and 5,398.80

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Solution

The fourth proportional to 9,875.01, 13,627.20 and 5,398.80 is: 7,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.01 : 13,627.20 = 5,398.80 : x
  2. Step 2: Convert to fraction form
    9,875.01/13,627.20 = 5,398.80/x
  3. Step 3: Cross multiply
    9,875.01x = 13,627.20 × 5,398.80
  4. Step 4: Simplify right side
    9,875.01x = 73,570,527.36
  5. Step 5: Solve for x
    x = 73,570,527.36/9,875.01
  6. Step 6: Final answer
    x = 7,450.17

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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.