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Finding the Fourth Proportional to 14,697.60, 22,046.40 and 6,505.60

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Solution

The fourth proportional to 14,697.60, 22,046.40 and 6,505.60 is: 9,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.60 : 22,046.40 = 6,505.60 : x
  2. Step 2: Convert to fraction form
    14,697.60/22,046.40 = 6,505.60/x
  3. Step 3: Cross multiply
    14,697.60x = 22,046.40 × 6,505.60
  4. Step 4: Simplify right side
    14,697.60x = 143,425,059.84
  5. Step 5: Solve for x
    x = 143,425,059.84/14,697.60
  6. Step 6: Final answer
    x = 9,758.40

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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.