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Finding the Fourth Proportional to 9,038.65, 12,465.03 and 7,636.54

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Solution

The fourth proportional to 9,038.65, 12,465.03 and 7,636.54 is: 10,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.65 : 12,465.03 = 7,636.54 : x
  2. Step 2: Convert to fraction form
    9,038.65/12,465.03 = 7,636.54/x
  3. Step 3: Cross multiply
    9,038.65x = 12,465.03 × 7,636.54
  4. Step 4: Simplify right side
    9,038.65x = 95,189,700.20
  5. Step 5: Solve for x
    x = 95,189,700.20/9,038.65
  6. Step 6: Final answer
    x = 10,531.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.