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Finding the Fourth Proportional to 9,397, 12,970.02 and 5,673.16

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Solution

The fourth proportional to 9,397, 12,970.02 and 5,673.16 is: 7,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397 : 12,970.02 = 5,673.16 : x
  2. Step 2: Convert to fraction form
    9,397/12,970.02 = 5,673.16/x
  3. Step 3: Cross multiply
    9,397x = 12,970.02 × 5,673.16
  4. Step 4: Simplify right side
    9,397x = 73,580,998.66
  5. Step 5: Solve for x
    x = 73,580,998.66/9,397
  6. Step 6: Final answer
    x = 7,830.26

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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.