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Finding the Fourth Proportional to 10,616.90, 14,652.14 and 6,368.12

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Solution

The fourth proportional to 10,616.90, 14,652.14 and 6,368.12 is: 8,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.90 : 14,652.14 = 6,368.12 : x
  2. Step 2: Convert to fraction form
    10,616.90/14,652.14 = 6,368.12/x
  3. Step 3: Cross multiply
    10,616.90x = 14,652.14 × 6,368.12
  4. Step 4: Simplify right side
    10,616.90x = 93,306,585.78
  5. Step 5: Solve for x
    x = 93,306,585.78/10,616.90
  6. Step 6: Final answer
    x = 8,788.50

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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.