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Finding the Fourth Proportional to 9,958.64, 13,742.85 and 5,482.47

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Solution

The fourth proportional to 9,958.64, 13,742.85 and 5,482.47 is: 7,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.64 : 13,742.85 = 5,482.47 : x
  2. Step 2: Convert to fraction form
    9,958.64/13,742.85 = 5,482.47/x
  3. Step 3: Cross multiply
    9,958.64x = 13,742.85 × 5,482.47
  4. Step 4: Simplify right side
    9,958.64x = 75,344,762.84
  5. Step 5: Solve for x
    x = 75,344,762.84/9,958.64
  6. Step 6: Final answer
    x = 7,565.77

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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.