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Finding the Fourth Proportional to 10,594.64, 15,888.92 and 4,269.50

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Solution

The fourth proportional to 10,594.64, 15,888.92 and 4,269.50 is: 6,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.64 : 15,888.92 = 4,269.50 : x
  2. Step 2: Convert to fraction form
    10,594.64/15,888.92 = 4,269.50/x
  3. Step 3: Cross multiply
    10,594.64x = 15,888.92 × 4,269.50
  4. Step 4: Simplify right side
    10,594.64x = 67,837,743.94
  5. Step 5: Solve for x
    x = 67,837,743.94/10,594.64
  6. Step 6: Final answer
    x = 6,403.02

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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.