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Finding the Fourth Proportional to 4,709.64, 7,070.94 and 2,402.76

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Solution

The fourth proportional to 4,709.64, 7,070.94 and 2,402.76 is: 3,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.64 : 7,070.94 = 2,402.76 : x
  2. Step 2: Convert to fraction form
    4,709.64/7,070.94 = 2,402.76/x
  3. Step 3: Cross multiply
    4,709.64x = 7,070.94 × 2,402.76
  4. Step 4: Simplify right side
    4,709.64x = 16,989,771.79
  5. Step 5: Solve for x
    x = 16,989,771.79/4,709.64
  6. Step 6: Final answer
    x = 3,607.45

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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.