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Finding the Fourth Proportional to 9,652.60, 14,462.70 and 4,711.60

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Solution

The fourth proportional to 9,652.60, 14,462.70 and 4,711.60 is: 7,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.60 : 14,462.70 = 4,711.60 : x
  2. Step 2: Convert to fraction form
    9,652.60/14,462.70 = 4,711.60/x
  3. Step 3: Cross multiply
    9,652.60x = 14,462.70 × 4,711.60
  4. Step 4: Simplify right side
    9,652.60x = 68,142,457.32
  5. Step 5: Solve for x
    x = 68,142,457.32/9,652.60
  6. Step 6: Final answer
    x = 7,059.49

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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.