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Finding the Fourth Proportional to 9,697.40, 14,567.70 and 9,303.80

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Solution

The fourth proportional to 9,697.40, 14,567.70 and 9,303.80 is: 13,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.40 : 14,567.70 = 9,303.80 : x
  2. Step 2: Convert to fraction form
    9,697.40/14,567.70 = 9,303.80/x
  3. Step 3: Cross multiply
    9,697.40x = 14,567.70 × 9,303.80
  4. Step 4: Simplify right side
    9,697.40x = 135,534,967.26
  5. Step 5: Solve for x
    x = 135,534,967.26/9,697.40
  6. Step 6: Final answer
    x = 13,976.42

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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.