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Finding the Fourth Proportional to 6,348.29, 9,510.53 and 5,314.91

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Solution

The fourth proportional to 6,348.29, 9,510.53 and 5,314.91 is: 7,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.29 : 9,510.53 = 5,314.91 : x
  2. Step 2: Convert to fraction form
    6,348.29/9,510.53 = 5,314.91/x
  3. Step 3: Cross multiply
    6,348.29x = 9,510.53 × 5,314.91
  4. Step 4: Simplify right side
    6,348.29x = 50,547,536.88
  5. Step 5: Solve for x
    x = 50,547,536.88/6,348.29
  6. Step 6: Final answer
    x = 7,962.39

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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.