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Finding the Fourth Proportional to 7,157.11, 9,875.67 and 4,642.67

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Solution

The fourth proportional to 7,157.11, 9,875.67 and 4,642.67 is: 6,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.11 : 9,875.67 = 4,642.67 : x
  2. Step 2: Convert to fraction form
    7,157.11/9,875.67 = 4,642.67/x
  3. Step 3: Cross multiply
    7,157.11x = 9,875.67 × 4,642.67
  4. Step 4: Simplify right side
    7,157.11x = 45,849,454.68
  5. Step 5: Solve for x
    x = 45,849,454.68/7,157.11
  6. Step 6: Final answer
    x = 6,406.14

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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.