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Finding the Fourth Proportional to 6,701.34, 9,248.88 and 6,406.02

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Solution

The fourth proportional to 6,701.34, 9,248.88 and 6,406.02 is: 8,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.34 : 9,248.88 = 6,406.02 : x
  2. Step 2: Convert to fraction form
    6,701.34/9,248.88 = 6,406.02/x
  3. Step 3: Cross multiply
    6,701.34x = 9,248.88 × 6,406.02
  4. Step 4: Simplify right side
    6,701.34x = 59,248,510.26
  5. Step 5: Solve for x
    x = 59,248,510.26/6,701.34
  6. Step 6: Final answer
    x = 8,841.29

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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.