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Finding the Fourth Proportional to 9,958.42, 13,742.51 and 5,482.08

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Solution

The fourth proportional to 9,958.42, 13,742.51 and 5,482.08 is: 7,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.42 : 13,742.51 = 5,482.08 : x
  2. Step 2: Convert to fraction form
    9,958.42/13,742.51 = 5,482.08/x
  3. Step 3: Cross multiply
    9,958.42x = 13,742.51 × 5,482.08
  4. Step 4: Simplify right side
    9,958.42x = 75,337,511.81
  5. Step 5: Solve for x
    x = 75,337,511.81/9,958.42
  6. Step 6: Final answer
    x = 7,565.21

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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.