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Finding the Fourth Proportional to 9,735.40, 14,603.10 and 3,498.40

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Solution

The fourth proportional to 9,735.40, 14,603.10 and 3,498.40 is: 5,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.40 : 14,603.10 = 3,498.40 : x
  2. Step 2: Convert to fraction form
    9,735.40/14,603.10 = 3,498.40/x
  3. Step 3: Cross multiply
    9,735.40x = 14,603.10 × 3,498.40
  4. Step 4: Simplify right side
    9,735.40x = 51,087,485.04
  5. Step 5: Solve for x
    x = 51,087,485.04/9,735.40
  6. Step 6: Final answer
    x = 5,247.60

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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.