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Finding the Fourth Proportional to 9,439.86, 14,165.22 and 5,547

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Solution

The fourth proportional to 9,439.86, 14,165.22 and 5,547 is: 8,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.86 : 14,165.22 = 5,547 : x
  2. Step 2: Convert to fraction form
    9,439.86/14,165.22 = 5,547/x
  3. Step 3: Cross multiply
    9,439.86x = 14,165.22 × 5,547
  4. Step 4: Simplify right side
    9,439.86x = 78,574,475.34
  5. Step 5: Solve for x
    x = 78,574,475.34/9,439.86
  6. Step 6: Final answer
    x = 8,323.69

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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.