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Finding the Fourth Proportional to 9,243, 12,754.86 and 5,051.16

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Solution

The fourth proportional to 9,243, 12,754.86 and 5,051.16 is: 6,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243 : 12,754.86 = 5,051.16 : x
  2. Step 2: Convert to fraction form
    9,243/12,754.86 = 5,051.16/x
  3. Step 3: Cross multiply
    9,243x = 12,754.86 × 5,051.16
  4. Step 4: Simplify right side
    9,243x = 64,426,838.64
  5. Step 5: Solve for x
    x = 64,426,838.64/9,243
  6. Step 6: Final answer
    x = 6,970.34

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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.