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Finding the Fourth Proportional to 9,583.48, 13,225.09 and 5,334.47

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Solution

The fourth proportional to 9,583.48, 13,225.09 and 5,334.47 is: 7,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.48 : 13,225.09 = 5,334.47 : x
  2. Step 2: Convert to fraction form
    9,583.48/13,225.09 = 5,334.47/x
  3. Step 3: Cross multiply
    9,583.48x = 13,225.09 × 5,334.47
  4. Step 4: Simplify right side
    9,583.48x = 70,548,779.73
  5. Step 5: Solve for x
    x = 70,548,779.73/9,583.48
  6. Step 6: Final answer
    x = 7,361.50

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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.