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Finding the Fourth Proportional to 9,909.76, 13,675.62 and 5,433.76

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Solution

The fourth proportional to 9,909.76, 13,675.62 and 5,433.76 is: 7,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.76 : 13,675.62 = 5,433.76 : x
  2. Step 2: Convert to fraction form
    9,909.76/13,675.62 = 5,433.76/x
  3. Step 3: Cross multiply
    9,909.76x = 13,675.62 × 5,433.76
  4. Step 4: Simplify right side
    9,909.76x = 74,310,036.93
  5. Step 5: Solve for x
    x = 74,310,036.93/9,909.76
  6. Step 6: Final answer
    x = 7,498.67

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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.