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Finding the Fourth Proportional to 7,703.53, 11,537.60 and 4,892.16

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Solution

The fourth proportional to 7,703.53, 11,537.60 and 4,892.16 is: 7,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.53 : 11,537.60 = 4,892.16 : x
  2. Step 2: Convert to fraction form
    7,703.53/11,537.60 = 4,892.16/x
  3. Step 3: Cross multiply
    7,703.53x = 11,537.60 × 4,892.16
  4. Step 4: Simplify right side
    7,703.53x = 56,443,760.76
  5. Step 5: Solve for x
    x = 56,443,760.76/7,703.53
  6. Step 6: Final answer
    x = 7,327.00

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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.