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Finding the Fourth Proportional to 12,537.40, 17,301 and 7,232.32

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Solution

The fourth proportional to 12,537.40, 17,301 and 7,232.32 is: 9,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.40 : 17,301 = 7,232.32 : x
  2. Step 2: Convert to fraction form
    12,537.40/17,301 = 7,232.32/x
  3. Step 3: Cross multiply
    12,537.40x = 17,301 × 7,232.32
  4. Step 4: Simplify right side
    12,537.40x = 125,126,368.32
  5. Step 5: Solve for x
    x = 125,126,368.32/12,537.40
  6. Step 6: Final answer
    x = 9,980.25

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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.