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Finding the Fourth Proportional to 14,407.75, 19,882.70 and 7,783.75

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Solution

The fourth proportional to 14,407.75, 19,882.70 and 7,783.75 is: 10,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.75 : 19,882.70 = 7,783.75 : x
  2. Step 2: Convert to fraction form
    14,407.75/19,882.70 = 7,783.75/x
  3. Step 3: Cross multiply
    14,407.75x = 19,882.70 × 7,783.75
  4. Step 4: Simplify right side
    14,407.75x = 154,761,966.13
  5. Step 5: Solve for x
    x = 154,761,966.13/14,407.75
  6. Step 6: Final answer
    x = 10,741.58

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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.