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Finding the Fourth Proportional to 14,135.87, 19,507.50 and 7,848.24

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Solution

The fourth proportional to 14,135.87, 19,507.50 and 7,848.24 is: 10,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.87 : 19,507.50 = 7,848.24 : x
  2. Step 2: Convert to fraction form
    14,135.87/19,507.50 = 7,848.24/x
  3. Step 3: Cross multiply
    14,135.87x = 19,507.50 × 7,848.24
  4. Step 4: Simplify right side
    14,135.87x = 153,099,541.80
  5. Step 5: Solve for x
    x = 153,099,541.80/14,135.87
  6. Step 6: Final answer
    x = 10,830.57

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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.