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Finding the Fourth Proportional to 7,523.60, 11,263.80 and 4,607.60

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Solution

The fourth proportional to 7,523.60, 11,263.80 and 4,607.60 is: 6,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.60 : 11,263.80 = 4,607.60 : x
  2. Step 2: Convert to fraction form
    7,523.60/11,263.80 = 4,607.60/x
  3. Step 3: Cross multiply
    7,523.60x = 11,263.80 × 4,607.60
  4. Step 4: Simplify right side
    7,523.60x = 51,899,084.88
  5. Step 5: Solve for x
    x = 51,899,084.88/7,523.60
  6. Step 6: Final answer
    x = 6,898.17

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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.