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Finding the Fourth Proportional to 7,130.96, 9,842.62 and 4,106.42

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Solution

The fourth proportional to 7,130.96, 9,842.62 and 4,106.42 is: 5,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.96 : 9,842.62 = 4,106.42 : x
  2. Step 2: Convert to fraction form
    7,130.96/9,842.62 = 4,106.42/x
  3. Step 3: Cross multiply
    7,130.96x = 9,842.62 × 4,106.42
  4. Step 4: Simplify right side
    7,130.96x = 40,417,931.62
  5. Step 5: Solve for x
    x = 40,417,931.62/7,130.96
  6. Step 6: Final answer
    x = 5,667.95

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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.