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Finding the Fourth Proportional to 6,547.10, 9,801.81 and 6,085.77

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Solution

The fourth proportional to 6,547.10, 9,801.81 and 6,085.77 is: 9,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.10 : 9,801.81 = 6,085.77 : x
  2. Step 2: Convert to fraction form
    6,547.10/9,801.81 = 6,085.77/x
  3. Step 3: Cross multiply
    6,547.10x = 9,801.81 × 6,085.77
  4. Step 4: Simplify right side
    6,547.10x = 59,651,524.49
  5. Step 5: Solve for x
    x = 59,651,524.49/6,547.10
  6. Step 6: Final answer
    x = 9,111.14

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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.