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Finding the Fourth Proportional to 9,673.53, 13,262.54 and 9,498.57

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Solution

The fourth proportional to 9,673.53, 13,262.54 and 9,498.57 is: 13,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.53 : 13,262.54 = 9,498.57 : x
  2. Step 2: Convert to fraction form
    9,673.53/13,262.54 = 9,498.57/x
  3. Step 3: Cross multiply
    9,673.53x = 13,262.54 × 9,498.57
  4. Step 4: Simplify right side
    9,673.53x = 125,975,117.07
  5. Step 5: Solve for x
    x = 125,975,117.07/9,673.53
  6. Step 6: Final answer
    x = 13,022.66

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.