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Finding the Fourth Proportional to 10,462.16, 14,430.25 and 7,639.11

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Solution

The fourth proportional to 10,462.16, 14,430.25 and 7,639.11 is: 10,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.16 : 14,430.25 = 7,639.11 : x
  2. Step 2: Convert to fraction form
    10,462.16/14,430.25 = 7,639.11/x
  3. Step 3: Cross multiply
    10,462.16x = 14,430.25 × 7,639.11
  4. Step 4: Simplify right side
    10,462.16x = 110,234,276.63
  5. Step 5: Solve for x
    x = 110,234,276.63/10,462.16
  6. Step 6: Final answer
    x = 10,536.47

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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.