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Finding the Fourth Proportional to 9,784.64, 13,502.60 and 5,535.64

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Solution

The fourth proportional to 9,784.64, 13,502.60 and 5,535.64 is: 7,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.64 : 13,502.60 = 5,535.64 : x
  2. Step 2: Convert to fraction form
    9,784.64/13,502.60 = 5,535.64/x
  3. Step 3: Cross multiply
    9,784.64x = 13,502.60 × 5,535.64
  4. Step 4: Simplify right side
    9,784.64x = 74,745,532.66
  5. Step 5: Solve for x
    x = 74,745,532.66/9,784.64
  6. Step 6: Final answer
    x = 7,639.07

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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.