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Finding the Fourth Proportional to 9,348, 14,009.57 and 5,185.81

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Solution

The fourth proportional to 9,348, 14,009.57 and 5,185.81 is: 7,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348 : 14,009.57 = 5,185.81 : x
  2. Step 2: Convert to fraction form
    9,348/14,009.57 = 5,185.81/x
  3. Step 3: Cross multiply
    9,348x = 14,009.57 × 5,185.81
  4. Step 4: Simplify right side
    9,348x = 72,650,968.20
  5. Step 5: Solve for x
    x = 72,650,968.20/9,348
  6. Step 6: Final answer
    x = 7,771.82

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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.