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Finding the Fourth Proportional to 9,486.60, 14,229.90 and 6,368.10

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Solution

The fourth proportional to 9,486.60, 14,229.90 and 6,368.10 is: 9,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.60 : 14,229.90 = 6,368.10 : x
  2. Step 2: Convert to fraction form
    9,486.60/14,229.90 = 6,368.10/x
  3. Step 3: Cross multiply
    9,486.60x = 14,229.90 × 6,368.10
  4. Step 4: Simplify right side
    9,486.60x = 90,617,426.19
  5. Step 5: Solve for x
    x = 90,617,426.19/9,486.60
  6. Step 6: Final answer
    x = 9,552.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.