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Finding the Fourth Proportional to 13,751.70, 18,977.35 and 7,464.07

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Solution

The fourth proportional to 13,751.70, 18,977.35 and 7,464.07 is: 10,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.70 : 18,977.35 = 7,464.07 : x
  2. Step 2: Convert to fraction form
    13,751.70/18,977.35 = 7,464.07/x
  3. Step 3: Cross multiply
    13,751.70x = 18,977.35 × 7,464.07
  4. Step 4: Simplify right side
    13,751.70x = 141,648,268.81
  5. Step 5: Solve for x
    x = 141,648,268.81/13,751.70
  6. Step 6: Final answer
    x = 10,300.42

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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.