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Finding the Fourth Proportional to 9,853.72, 13,594.57 and 7,585.75

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Solution

The fourth proportional to 9,853.72, 13,594.57 and 7,585.75 is: 10,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.72 : 13,594.57 = 7,585.75 : x
  2. Step 2: Convert to fraction form
    9,853.72/13,594.57 = 7,585.75/x
  3. Step 3: Cross multiply
    9,853.72x = 13,594.57 × 7,585.75
  4. Step 4: Simplify right side
    9,853.72x = 103,124,971.45
  5. Step 5: Solve for x
    x = 103,124,971.45/9,853.72
  6. Step 6: Final answer
    x = 10,465.59

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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.