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Finding the Fourth Proportional to 9,507.65, 13,116.53 and 6,364.85

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Solution

The fourth proportional to 9,507.65, 13,116.53 and 6,364.85 is: 8,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.65 : 13,116.53 = 6,364.85 : x
  2. Step 2: Convert to fraction form
    9,507.65/13,116.53 = 6,364.85/x
  3. Step 3: Cross multiply
    9,507.65x = 13,116.53 × 6,364.85
  4. Step 4: Simplify right side
    9,507.65x = 83,484,696.30
  5. Step 5: Solve for x
    x = 83,484,696.30/9,507.65
  6. Step 6: Final answer
    x = 8,780.80

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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.