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Finding the Fourth Proportional to 9,698.56, 13,389.12 and 6,528.53

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Solution

The fourth proportional to 9,698.56, 13,389.12 and 6,528.53 is: 9,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.56 : 13,389.12 = 6,528.53 : x
  2. Step 2: Convert to fraction form
    9,698.56/13,389.12 = 6,528.53/x
  3. Step 3: Cross multiply
    9,698.56x = 13,389.12 × 6,528.53
  4. Step 4: Simplify right side
    9,698.56x = 87,411,305.07
  5. Step 5: Solve for x
    x = 87,411,305.07/9,698.56
  6. Step 6: Final answer
    x = 9,012.82

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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.