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Finding the Fourth Proportional to 10,457.66, 15,686.51 and 7,351.55

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Solution

The fourth proportional to 10,457.66, 15,686.51 and 7,351.55 is: 11,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.66 : 15,686.51 = 7,351.55 : x
  2. Step 2: Convert to fraction form
    10,457.66/15,686.51 = 7,351.55/x
  3. Step 3: Cross multiply
    10,457.66x = 15,686.51 × 7,351.55
  4. Step 4: Simplify right side
    10,457.66x = 115,320,088.75
  5. Step 5: Solve for x
    x = 115,320,088.75/10,457.66
  6. Step 6: Final answer
    x = 11,027.33

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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.