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Finding the Fourth Proportional to 10,032.87, 13,846.98 and 6,506.34

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Solution

The fourth proportional to 10,032.87, 13,846.98 and 6,506.34 is: 8,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.87 : 13,846.98 = 6,506.34 : x
  2. Step 2: Convert to fraction form
    10,032.87/13,846.98 = 6,506.34/x
  3. Step 3: Cross multiply
    10,032.87x = 13,846.98 × 6,506.34
  4. Step 4: Simplify right side
    10,032.87x = 90,093,159.85
  5. Step 5: Solve for x
    x = 90,093,159.85/10,032.87
  6. Step 6: Final answer
    x = 8,979.80

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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.