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Finding the Fourth Proportional to 15,703.60, 23,558.64 and 6,822.76

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Solution

The fourth proportional to 15,703.60, 23,558.64 and 6,822.76 is: 10,235.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.60 : 23,558.64 = 6,822.76 : x
  2. Step 2: Convert to fraction form
    15,703.60/23,558.64 = 6,822.76/x
  3. Step 3: Cross multiply
    15,703.60x = 23,558.64 × 6,822.76
  4. Step 4: Simplify right side
    15,703.60x = 160,734,946.65
  5. Step 5: Solve for x
    x = 160,734,946.65/15,703.60
  6. Step 6: Final answer
    x = 10,235.55

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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.