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Finding the Fourth Proportional to 9,750.64, 13,455.12 and 5,502.74

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Solution

The fourth proportional to 9,750.64, 13,455.12 and 5,502.74 is: 7,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.64 : 13,455.12 = 5,502.74 : x
  2. Step 2: Convert to fraction form
    9,750.64/13,455.12 = 5,502.74/x
  3. Step 3: Cross multiply
    9,750.64x = 13,455.12 × 5,502.74
  4. Step 4: Simplify right side
    9,750.64x = 74,039,953.30
  5. Step 5: Solve for x
    x = 74,039,953.30/9,750.64
  6. Step 6: Final answer
    x = 7,593.34

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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.