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Finding the Fourth Proportional to 14,135.08, 19,507.08 and 7,847.50

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Solution

The fourth proportional to 14,135.08, 19,507.08 and 7,847.50 is: 10,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.08 : 19,507.08 = 7,847.50 : x
  2. Step 2: Convert to fraction form
    14,135.08/19,507.08 = 7,847.50/x
  3. Step 3: Cross multiply
    14,135.08x = 19,507.08 × 7,847.50
  4. Step 4: Simplify right side
    14,135.08x = 153,081,810.30
  5. Step 5: Solve for x
    x = 153,081,810.30/14,135.08
  6. Step 6: Final answer
    x = 10,829.92

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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.