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Finding the Fourth Proportional to 4,658.64, 7,023.66 and 4,341.42

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Solution

The fourth proportional to 4,658.64, 7,023.66 and 4,341.42 is: 6,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.64 : 7,023.66 = 4,341.42 : x
  2. Step 2: Convert to fraction form
    4,658.64/7,023.66 = 4,341.42/x
  3. Step 3: Cross multiply
    4,658.64x = 7,023.66 × 4,341.42
  4. Step 4: Simplify right side
    4,658.64x = 30,492,658.00
  5. Step 5: Solve for x
    x = 30,492,658.00/4,658.64
  6. Step 6: Final answer
    x = 6,545.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.