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Finding the Fourth Proportional to 9,673.23, 14,506.53 and 6,364.51

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Solution

The fourth proportional to 9,673.23, 14,506.53 and 6,364.51 is: 9,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.23 : 14,506.53 = 6,364.51 : x
  2. Step 2: Convert to fraction form
    9,673.23/14,506.53 = 6,364.51/x
  3. Step 3: Cross multiply
    9,673.23x = 14,506.53 × 6,364.51
  4. Step 4: Simplify right side
    9,673.23x = 92,326,955.25
  5. Step 5: Solve for x
    x = 92,326,955.25/9,673.23
  6. Step 6: Final answer
    x = 9,544.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.