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Finding the Fourth Proportional to 11,652.60, 16,077.42 and 7,457.40

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Solution

The fourth proportional to 11,652.60, 16,077.42 and 7,457.40 is: 10,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.60 : 16,077.42 = 7,457.40 : x
  2. Step 2: Convert to fraction form
    11,652.60/16,077.42 = 7,457.40/x
  3. Step 3: Cross multiply
    11,652.60x = 16,077.42 × 7,457.40
  4. Step 4: Simplify right side
    11,652.60x = 119,895,751.91
  5. Step 5: Solve for x
    x = 119,895,751.91/11,652.60
  6. Step 6: Final answer
    x = 10,289.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.