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Finding the Fourth Proportional to 9,225.68, 13,827.54 and 7,585.52

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Solution

The fourth proportional to 9,225.68, 13,827.54 and 7,585.52 is: 11,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.68 : 13,827.54 = 7,585.52 : x
  2. Step 2: Convert to fraction form
    9,225.68/13,827.54 = 7,585.52/x
  3. Step 3: Cross multiply
    9,225.68x = 13,827.54 × 7,585.52
  4. Step 4: Simplify right side
    9,225.68x = 104,889,081.22
  5. Step 5: Solve for x
    x = 104,889,081.22/9,225.68
  6. Step 6: Final answer
    x = 11,369.25

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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.