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Finding the Fourth Proportional to 9,689.60, 14,515.20 and 5,782.40

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Solution

The fourth proportional to 9,689.60, 14,515.20 and 5,782.40 is: 8,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.60 : 14,515.20 = 5,782.40 : x
  2. Step 2: Convert to fraction form
    9,689.60/14,515.20 = 5,782.40/x
  3. Step 3: Cross multiply
    9,689.60x = 14,515.20 × 5,782.40
  4. Step 4: Simplify right side
    9,689.60x = 83,932,692.48
  5. Step 5: Solve for x
    x = 83,932,692.48/9,689.60
  6. Step 6: Final answer
    x = 8,662.14

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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.