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Finding the Fourth Proportional to 9,482.92, 14,212.86 and 6,710.40

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Solution

The fourth proportional to 9,482.92, 14,212.86 and 6,710.40 is: 10,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.92 : 14,212.86 = 6,710.40 : x
  2. Step 2: Convert to fraction form
    9,482.92/14,212.86 = 6,710.40/x
  3. Step 3: Cross multiply
    9,482.92x = 14,212.86 × 6,710.40
  4. Step 4: Simplify right side
    9,482.92x = 95,373,950.58
  5. Step 5: Solve for x
    x = 95,373,950.58/9,482.92
  6. Step 6: Final answer
    x = 10,057.45

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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.