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Finding the Fourth Proportional to 10,415.66, 14,368.23 and 7,057.32

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Solution

The fourth proportional to 10,415.66, 14,368.23 and 7,057.32 is: 9,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.66 : 14,368.23 = 7,057.32 : x
  2. Step 2: Convert to fraction form
    10,415.66/14,368.23 = 7,057.32/x
  3. Step 3: Cross multiply
    10,415.66x = 14,368.23 × 7,057.32
  4. Step 4: Simplify right side
    10,415.66x = 101,401,196.94
  5. Step 5: Solve for x
    x = 101,401,196.94/10,415.66
  6. Step 6: Final answer
    x = 9,735.46

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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.