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Finding the Fourth Proportional to 9,738.40, 14,607.60 and 8,442.40

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Solution

The fourth proportional to 9,738.40, 14,607.60 and 8,442.40 is: 12,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.40 : 14,607.60 = 8,442.40 : x
  2. Step 2: Convert to fraction form
    9,738.40/14,607.60 = 8,442.40/x
  3. Step 3: Cross multiply
    9,738.40x = 14,607.60 × 8,442.40
  4. Step 4: Simplify right side
    9,738.40x = 123,323,202.24
  5. Step 5: Solve for x
    x = 123,323,202.24/9,738.40
  6. Step 6: Final answer
    x = 12,663.60

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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.