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Finding the Fourth Proportional to 9,893.12, 14,839.68 and 4,697.60

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Solution

The fourth proportional to 9,893.12, 14,839.68 and 4,697.60 is: 7,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.12 : 14,839.68 = 4,697.60 : x
  2. Step 2: Convert to fraction form
    9,893.12/14,839.68 = 4,697.60/x
  3. Step 3: Cross multiply
    9,893.12x = 14,839.68 × 4,697.60
  4. Step 4: Simplify right side
    9,893.12x = 69,710,880.77
  5. Step 5: Solve for x
    x = 69,710,880.77/9,893.12
  6. Step 6: Final answer
    x = 7,046.40

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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.