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Finding the Fourth Proportional to 9,673.60, 14,486.10 and 6,368.80

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Solution

The fourth proportional to 9,673.60, 14,486.10 and 6,368.80 is: 9,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.60 : 14,486.10 = 6,368.80 : x
  2. Step 2: Convert to fraction form
    9,673.60/14,486.10 = 6,368.80/x
  3. Step 3: Cross multiply
    9,673.60x = 14,486.10 × 6,368.80
  4. Step 4: Simplify right side
    9,673.60x = 92,259,073.68
  5. Step 5: Solve for x
    x = 92,259,073.68/9,673.60
  6. Step 6: Final answer
    x = 9,537.20

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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.