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Finding the Fourth Proportional to 11,455.96, 15,804.50 and 7,475.64

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Solution

The fourth proportional to 11,455.96, 15,804.50 and 7,475.64 is: 10,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.96 : 15,804.50 = 7,475.64 : x
  2. Step 2: Convert to fraction form
    11,455.96/15,804.50 = 7,475.64/x
  3. Step 3: Cross multiply
    11,455.96x = 15,804.50 × 7,475.64
  4. Step 4: Simplify right side
    11,455.96x = 118,148,752.38
  5. Step 5: Solve for x
    x = 118,148,752.38/11,455.96
  6. Step 6: Final answer
    x = 10,313.30

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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.