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Finding the Fourth Proportional to 34,009.76, 51,016.80 and 9,049.40

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Solution

The fourth proportional to 34,009.76, 51,016.80 and 9,049.40 is: 13,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.76 : 51,016.80 = 9,049.40 : x
  2. Step 2: Convert to fraction form
    34,009.76/51,016.80 = 9,049.40/x
  3. Step 3: Cross multiply
    34,009.76x = 51,016.80 × 9,049.40
  4. Step 4: Simplify right side
    34,009.76x = 461,671,429.92
  5. Step 5: Solve for x
    x = 461,671,429.92/34,009.76
  6. Step 6: Final answer
    x = 13,574.67

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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.