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Finding the Fourth Proportional to 10,684.95, 14,745.02 and 6,494.55

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Solution

The fourth proportional to 10,684.95, 14,745.02 and 6,494.55 is: 8,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.95 : 14,745.02 = 6,494.55 : x
  2. Step 2: Convert to fraction form
    10,684.95/14,745.02 = 6,494.55/x
  3. Step 3: Cross multiply
    10,684.95x = 14,745.02 × 6,494.55
  4. Step 4: Simplify right side
    10,684.95x = 95,762,237.17
  5. Step 5: Solve for x
    x = 95,762,237.17/10,684.95
  6. Step 6: Final answer
    x = 8,962.35

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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.