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Finding the Fourth Proportional to 9,698.58, 13,389.12 and 6,528.54

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Solution

The fourth proportional to 9,698.58, 13,389.12 and 6,528.54 is: 9,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.58 : 13,389.12 = 6,528.54 : x
  2. Step 2: Convert to fraction form
    9,698.58/13,389.12 = 6,528.54/x
  3. Step 3: Cross multiply
    9,698.58x = 13,389.12 × 6,528.54
  4. Step 4: Simplify right side
    9,698.58x = 87,411,405.48
  5. Step 5: Solve for x
    x = 87,411,405.48/9,698.58
  6. Step 6: Final answer
    x = 9,012.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.