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Finding the Fourth Proportional to 9,703.12, 14,543.84 and 6,008.08

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Solution

The fourth proportional to 9,703.12, 14,543.84 and 6,008.08 is: 9,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.12 : 14,543.84 = 6,008.08 : x
  2. Step 2: Convert to fraction form
    9,703.12/14,543.84 = 6,008.08/x
  3. Step 3: Cross multiply
    9,703.12x = 14,543.84 × 6,008.08
  4. Step 4: Simplify right side
    9,703.12x = 87,380,554.23
  5. Step 5: Solve for x
    x = 87,380,554.23/9,703.12
  6. Step 6: Final answer
    x = 9,005.41

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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.