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Finding the Fourth Proportional to 6,312.36, 9,468.18 and 1,695

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Solution

The fourth proportional to 6,312.36, 9,468.18 and 1,695 is: 2,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.36 : 9,468.18 = 1,695 : x
  2. Step 2: Convert to fraction form
    6,312.36/9,468.18 = 1,695/x
  3. Step 3: Cross multiply
    6,312.36x = 9,468.18 × 1,695
  4. Step 4: Simplify right side
    6,312.36x = 16,048,565.10
  5. Step 5: Solve for x
    x = 16,048,565.10/6,312.36
  6. Step 6: Final answer
    x = 2,542.40

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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.