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Finding the Fourth Proportional to 9,710.01, 14,543.66 and 8,025.04

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Solution

The fourth proportional to 9,710.01, 14,543.66 and 8,025.04 is: 12,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.01 : 14,543.66 = 8,025.04 : x
  2. Step 2: Convert to fraction form
    9,710.01/14,543.66 = 8,025.04/x
  3. Step 3: Cross multiply
    9,710.01x = 14,543.66 × 8,025.04
  4. Step 4: Simplify right side
    9,710.01x = 116,713,453.25
  5. Step 5: Solve for x
    x = 116,713,453.25/9,710.01
  6. Step 6: Final answer
    x = 12,019.91

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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.