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Finding the Fourth Proportional to 9,913.79, 13,681.40 and 5,437.73

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Solution

The fourth proportional to 9,913.79, 13,681.40 and 5,437.73 is: 7,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.79 : 13,681.40 = 5,437.73 : x
  2. Step 2: Convert to fraction form
    9,913.79/13,681.40 = 5,437.73/x
  3. Step 3: Cross multiply
    9,913.79x = 13,681.40 × 5,437.73
  4. Step 4: Simplify right side
    9,913.79x = 74,395,704.41
  5. Step 5: Solve for x
    x = 74,395,704.41/9,913.79
  6. Step 6: Final answer
    x = 7,504.27

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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.