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Finding the Fourth Proportional to 9,614.40, 14,421.60 and 8,577.60

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Solution

The fourth proportional to 9,614.40, 14,421.60 and 8,577.60 is: 12,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.40 : 14,421.60 = 8,577.60 : x
  2. Step 2: Convert to fraction form
    9,614.40/14,421.60 = 8,577.60/x
  3. Step 3: Cross multiply
    9,614.40x = 14,421.60 × 8,577.60
  4. Step 4: Simplify right side
    9,614.40x = 123,702,716.16
  5. Step 5: Solve for x
    x = 123,702,716.16/9,614.40
  6. Step 6: Final answer
    x = 12,866.40

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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.