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Finding the Fourth Proportional to 9,507.99, 14,256.84 and 6,740.08

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Solution

The fourth proportional to 9,507.99, 14,256.84 and 6,740.08 is: 10,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.99 : 14,256.84 = 6,740.08 : x
  2. Step 2: Convert to fraction form
    9,507.99/14,256.84 = 6,740.08/x
  3. Step 3: Cross multiply
    9,507.99x = 14,256.84 × 6,740.08
  4. Step 4: Simplify right side
    9,507.99x = 96,092,242.15
  5. Step 5: Solve for x
    x = 96,092,242.15/9,507.99
  6. Step 6: Final answer
    x = 10,106.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.