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Finding the Fourth Proportional to 7,547.91, 10,408.87 and 4,856.38

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Solution

The fourth proportional to 7,547.91, 10,408.87 and 4,856.38 is: 6,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.91 : 10,408.87 = 4,856.38 : x
  2. Step 2: Convert to fraction form
    7,547.91/10,408.87 = 4,856.38/x
  3. Step 3: Cross multiply
    7,547.91x = 10,408.87 × 4,856.38
  4. Step 4: Simplify right side
    7,547.91x = 50,549,414.21
  5. Step 5: Solve for x
    x = 50,549,414.21/7,547.91
  6. Step 6: Final answer
    x = 6,697.14

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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.