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Finding the Fourth Proportional to 12,503.16, 17,254.32 and 6,914.16

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Solution

The fourth proportional to 12,503.16, 17,254.32 and 6,914.16 is: 9,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.16 : 17,254.32 = 6,914.16 : x
  2. Step 2: Convert to fraction form
    12,503.16/17,254.32 = 6,914.16/x
  3. Step 3: Cross multiply
    12,503.16x = 17,254.32 × 6,914.16
  4. Step 4: Simplify right side
    12,503.16x = 119,299,129.17
  5. Step 5: Solve for x
    x = 119,299,129.17/12,503.16
  6. Step 6: Final answer
    x = 9,541.52

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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.