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Finding the Fourth Proportional to 10,710.16, 14,768.76 and 7,174.16

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Solution

The fourth proportional to 10,710.16, 14,768.76 and 7,174.16 is: 9,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.16 : 14,768.76 = 7,174.16 : x
  2. Step 2: Convert to fraction form
    10,710.16/14,768.76 = 7,174.16/x
  3. Step 3: Cross multiply
    10,710.16x = 14,768.76 × 7,174.16
  4. Step 4: Simplify right side
    10,710.16x = 105,953,447.24
  5. Step 5: Solve for x
    x = 105,953,447.24/10,710.16
  6. Step 6: Final answer
    x = 9,892.80

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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.