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Finding the Fourth Proportional to 11,502.04, 15,861.54 and 7,303

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Solution

The fourth proportional to 11,502.04, 15,861.54 and 7,303 is: 10,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.04 : 15,861.54 = 7,303 : x
  2. Step 2: Convert to fraction form
    11,502.04/15,861.54 = 7,303/x
  3. Step 3: Cross multiply
    11,502.04x = 15,861.54 × 7,303
  4. Step 4: Simplify right side
    11,502.04x = 115,836,826.62
  5. Step 5: Solve for x
    x = 115,836,826.62/11,502.04
  6. Step 6: Final answer
    x = 10,070.98

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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.