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Finding the Fourth Proportional to 9,281, 13,886.63 and 6,513.08

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Solution

The fourth proportional to 9,281, 13,886.63 and 6,513.08 is: 9,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281 : 13,886.63 = 6,513.08 : x
  2. Step 2: Convert to fraction form
    9,281/13,886.63 = 6,513.08/x
  3. Step 3: Cross multiply
    9,281x = 13,886.63 × 6,513.08
  4. Step 4: Simplify right side
    9,281x = 90,444,630.12
  5. Step 5: Solve for x
    x = 90,444,630.12/9,281
  6. Step 6: Final answer
    x = 9,745.14

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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.