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Finding the Fourth Proportional to 9,784.30, 13,218.53 and 9,784.30

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Solution

The fourth proportional to 9,784.30, 13,218.53 and 9,784.30 is: 13,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.30 : 13,218.53 = 9,784.30 : x
  2. Step 2: Convert to fraction form
    9,784.30/13,218.53 = 9,784.30/x
  3. Step 3: Cross multiply
    9,784.30x = 13,218.53 × 9,784.30
  4. Step 4: Simplify right side
    9,784.30x = 129,334,063.08
  5. Step 5: Solve for x
    x = 129,334,063.08/9,784.30
  6. Step 6: Final answer
    x = 13,218.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.