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Finding the Fourth Proportional to 12,717.96, 19,065.06 and 6,875.16

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Solution

The fourth proportional to 12,717.96, 19,065.06 and 6,875.16 is: 10,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.96 : 19,065.06 = 6,875.16 : x
  2. Step 2: Convert to fraction form
    12,717.96/19,065.06 = 6,875.16/x
  3. Step 3: Cross multiply
    12,717.96x = 19,065.06 × 6,875.16
  4. Step 4: Simplify right side
    12,717.96x = 131,075,337.91
  5. Step 5: Solve for x
    x = 131,075,337.91/12,717.96
  6. Step 6: Final answer
    x = 10,306.32

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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.