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Finding the Fourth Proportional to 9,677.40, 14,516.10 and 4,493.40

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Solution

The fourth proportional to 9,677.40, 14,516.10 and 4,493.40 is: 6,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.40 : 14,516.10 = 4,493.40 : x
  2. Step 2: Convert to fraction form
    9,677.40/14,516.10 = 4,493.40/x
  3. Step 3: Cross multiply
    9,677.40x = 14,516.10 × 4,493.40
  4. Step 4: Simplify right side
    9,677.40x = 65,226,643.74
  5. Step 5: Solve for x
    x = 65,226,643.74/9,677.40
  6. Step 6: Final answer
    x = 6,740.10

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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.