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Finding the Fourth Proportional to 10,367.81, 14,307.66 and 5,652.39

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Solution

The fourth proportional to 10,367.81, 14,307.66 and 5,652.39 is: 7,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.81 : 14,307.66 = 5,652.39 : x
  2. Step 2: Convert to fraction form
    10,367.81/14,307.66 = 5,652.39/x
  3. Step 3: Cross multiply
    10,367.81x = 14,307.66 × 5,652.39
  4. Step 4: Simplify right side
    10,367.81x = 80,872,474.31
  5. Step 5: Solve for x
    x = 80,872,474.31/10,367.81
  6. Step 6: Final answer
    x = 7,800.35

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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.