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Finding the Fourth Proportional to 9,164.56, 13,746.84 and 2,239

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Solution

The fourth proportional to 9,164.56, 13,746.84 and 2,239 is: 3,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.56 : 13,746.84 = 2,239 : x
  2. Step 2: Convert to fraction form
    9,164.56/13,746.84 = 2,239/x
  3. Step 3: Cross multiply
    9,164.56x = 13,746.84 × 2,239
  4. Step 4: Simplify right side
    9,164.56x = 30,779,174.76
  5. Step 5: Solve for x
    x = 30,779,174.76/9,164.56
  6. Step 6: Final answer
    x = 3,358.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.