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Finding the Fourth Proportional to 6,506.04, 9,747.72 and 5,417.40

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Solution

The fourth proportional to 6,506.04, 9,747.72 and 5,417.40 is: 8,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.04 : 9,747.72 = 5,417.40 : x
  2. Step 2: Convert to fraction form
    6,506.04/9,747.72 = 5,417.40/x
  3. Step 3: Cross multiply
    6,506.04x = 9,747.72 × 5,417.40
  4. Step 4: Simplify right side
    6,506.04x = 52,807,298.33
  5. Step 5: Solve for x
    x = 52,807,298.33/6,506.04
  6. Step 6: Final answer
    x = 8,116.66

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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.