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Finding the Fourth Proportional to 10,145.79, 14,019.08 and 7,808.13

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Solution

The fourth proportional to 10,145.79, 14,019.08 and 7,808.13 is: 10,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.79 : 14,019.08 = 7,808.13 : x
  2. Step 2: Convert to fraction form
    10,145.79/14,019.08 = 7,808.13/x
  3. Step 3: Cross multiply
    10,145.79x = 14,019.08 × 7,808.13
  4. Step 4: Simplify right side
    10,145.79x = 109,462,760.08
  5. Step 5: Solve for x
    x = 109,462,760.08/10,145.79
  6. Step 6: Final answer
    x = 10,788.98

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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.