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Finding the Fourth Proportional to 7,089.66, 10,632.33 and 4,009.50

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Solution

The fourth proportional to 7,089.66, 10,632.33 and 4,009.50 is: 6,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.66 : 10,632.33 = 4,009.50 : x
  2. Step 2: Convert to fraction form
    7,089.66/10,632.33 = 4,009.50/x
  3. Step 3: Cross multiply
    7,089.66x = 10,632.33 × 4,009.50
  4. Step 4: Simplify right side
    7,089.66x = 42,630,327.14
  5. Step 5: Solve for x
    x = 42,630,327.14/7,089.66
  6. Step 6: Final answer
    x = 6,013.03

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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.