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Finding the Fourth Proportional to 10,652.12, 14,699.06 and 6,176.15

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Solution

The fourth proportional to 10,652.12, 14,699.06 and 6,176.15 is: 8,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.12 : 14,699.06 = 6,176.15 : x
  2. Step 2: Convert to fraction form
    10,652.12/14,699.06 = 6,176.15/x
  3. Step 3: Cross multiply
    10,652.12x = 14,699.06 × 6,176.15
  4. Step 4: Simplify right side
    10,652.12x = 90,783,590.70
  5. Step 5: Solve for x
    x = 90,783,590.70/10,652.12
  6. Step 6: Final answer
    x = 8,522.58

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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.