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Finding the Fourth Proportional to 9,585.51, 14,378.94 and 2,565.51

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Solution

The fourth proportional to 9,585.51, 14,378.94 and 2,565.51 is: 3,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.51 : 14,378.94 = 2,565.51 : x
  2. Step 2: Convert to fraction form
    9,585.51/14,378.94 = 2,565.51/x
  3. Step 3: Cross multiply
    9,585.51x = 14,378.94 × 2,565.51
  4. Step 4: Simplify right side
    9,585.51x = 36,889,314.36
  5. Step 5: Solve for x
    x = 36,889,314.36/9,585.51
  6. Step 6: Final answer
    x = 3,848.45

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.