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Finding the Fourth Proportional to 9,455.16, 13,047 and 5,475.74

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Solution

The fourth proportional to 9,455.16, 13,047 and 5,475.74 is: 7,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.16 : 13,047 = 5,475.74 : x
  2. Step 2: Convert to fraction form
    9,455.16/13,047 = 5,475.74/x
  3. Step 3: Cross multiply
    9,455.16x = 13,047 × 5,475.74
  4. Step 4: Simplify right side
    9,455.16x = 71,441,914.55
  5. Step 5: Solve for x
    x = 71,441,914.55/9,455.16
  6. Step 6: Final answer
    x = 7,555.87

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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.