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Finding the Fourth Proportional to 7,153.06, 9,871.77 and 4,502.74

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Solution

The fourth proportional to 7,153.06, 9,871.77 and 4,502.74 is: 6,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.06 : 9,871.77 = 4,502.74 : x
  2. Step 2: Convert to fraction form
    7,153.06/9,871.77 = 4,502.74/x
  3. Step 3: Cross multiply
    7,153.06x = 9,871.77 × 4,502.74
  4. Step 4: Simplify right side
    7,153.06x = 44,450,013.65
  5. Step 5: Solve for x
    x = 44,450,013.65/7,153.06
  6. Step 6: Final answer
    x = 6,214.13

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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.