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Finding the Fourth Proportional to 9,259.25, 13,894.07 and 9,188.91

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Solution

The fourth proportional to 9,259.25, 13,894.07 and 9,188.91 is: 13,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.25 : 13,894.07 = 9,188.91 : x
  2. Step 2: Convert to fraction form
    9,259.25/13,894.07 = 9,188.91/x
  3. Step 3: Cross multiply
    9,259.25x = 13,894.07 × 9,188.91
  4. Step 4: Simplify right side
    9,259.25x = 127,671,312.82
  5. Step 5: Solve for x
    x = 127,671,312.82/9,259.25
  6. Step 6: Final answer
    x = 13,788.52

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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.