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Finding the Fourth Proportional to 15,223.49, 22,837.05 and 6,457.25

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Solution

The fourth proportional to 15,223.49, 22,837.05 and 6,457.25 is: 9,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.49 : 22,837.05 = 6,457.25 : x
  2. Step 2: Convert to fraction form
    15,223.49/22,837.05 = 6,457.25/x
  3. Step 3: Cross multiply
    15,223.49x = 22,837.05 × 6,457.25
  4. Step 4: Simplify right side
    15,223.49x = 147,464,541.11
  5. Step 5: Solve for x
    x = 147,464,541.11/15,223.49
  6. Step 6: Final answer
    x = 9,686.64

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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.