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Finding the Fourth Proportional to 7,061.63, 9,746.77 and 4,077.02

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Solution

The fourth proportional to 7,061.63, 9,746.77 and 4,077.02 is: 5,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.63 : 9,746.77 = 4,077.02 : x
  2. Step 2: Convert to fraction form
    7,061.63/9,746.77 = 4,077.02/x
  3. Step 3: Cross multiply
    7,061.63x = 9,746.77 × 4,077.02
  4. Step 4: Simplify right side
    7,061.63x = 39,737,717.30
  5. Step 5: Solve for x
    x = 39,737,717.30/7,061.63
  6. Step 6: Final answer
    x = 5,627.28

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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.