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Finding the Fourth Proportional to 9,628.60, 13,509.20 and 9,628.60

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Solution

The fourth proportional to 9,628.60, 13,509.20 and 9,628.60 is: 13,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.60 : 13,509.20 = 9,628.60 : x
  2. Step 2: Convert to fraction form
    9,628.60/13,509.20 = 9,628.60/x
  3. Step 3: Cross multiply
    9,628.60x = 13,509.20 × 9,628.60
  4. Step 4: Simplify right side
    9,628.60x = 130,074,683.12
  5. Step 5: Solve for x
    x = 130,074,683.12/9,628.60
  6. Step 6: Final answer
    x = 13,509.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.