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Finding the Fourth Proportional to 14,225.76, 19,632 and 7,852.80

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Solution

The fourth proportional to 14,225.76, 19,632 and 7,852.80 is: 10,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,225.76 : 19,632 = 7,852.80 : x
  2. Step 2: Convert to fraction form
    14,225.76/19,632 = 7,852.80/x
  3. Step 3: Cross multiply
    14,225.76x = 19,632 × 7,852.80
  4. Step 4: Simplify right side
    14,225.76x = 154,166,169.60
  5. Step 5: Solve for x
    x = 154,166,169.60/14,225.76
  6. Step 6: Final answer
    x = 10,837.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.