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Finding the Fourth Proportional to 6,547.26, 9,746.85 and 6,508.35

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Solution

The fourth proportional to 6,547.26, 9,746.85 and 6,508.35 is: 9,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.26 : 9,746.85 = 6,508.35 : x
  2. Step 2: Convert to fraction form
    6,547.26/9,746.85 = 6,508.35/x
  3. Step 3: Cross multiply
    6,547.26x = 9,746.85 × 6,508.35
  4. Step 4: Simplify right side
    6,547.26x = 63,435,874.65
  5. Step 5: Solve for x
    x = 63,435,874.65/6,547.26
  6. Step 6: Final answer
    x = 9,688.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.