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Finding the Fourth Proportional to 9,463.64, 13,051.33 and 5,927.18

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Solution

The fourth proportional to 9,463.64, 13,051.33 and 5,927.18 is: 8,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.64 : 13,051.33 = 5,927.18 : x
  2. Step 2: Convert to fraction form
    9,463.64/13,051.33 = 5,927.18/x
  3. Step 3: Cross multiply
    9,463.64x = 13,051.33 × 5,927.18
  4. Step 4: Simplify right side
    9,463.64x = 77,357,502.07
  5. Step 5: Solve for x
    x = 77,357,502.07/9,463.64
  6. Step 6: Final answer
    x = 8,174.18

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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.