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Finding the Fourth Proportional to 10,465.16, 14,442.02 and 5,749.44

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Solution

The fourth proportional to 10,465.16, 14,442.02 and 5,749.44 is: 7,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.16 : 14,442.02 = 5,749.44 : x
  2. Step 2: Convert to fraction form
    10,465.16/14,442.02 = 5,749.44/x
  3. Step 3: Cross multiply
    10,465.16x = 14,442.02 × 5,749.44
  4. Step 4: Simplify right side
    10,465.16x = 83,033,541.84
  5. Step 5: Solve for x
    x = 83,033,541.84/10,465.16
  6. Step 6: Final answer
    x = 7,934.28

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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.