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Finding the Fourth Proportional to 6,823.64, 9,411.80 and 6,595.02

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Solution

The fourth proportional to 6,823.64, 9,411.80 and 6,595.02 is: 9,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.64 : 9,411.80 = 6,595.02 : x
  2. Step 2: Convert to fraction form
    6,823.64/9,411.80 = 6,595.02/x
  3. Step 3: Cross multiply
    6,823.64x = 9,411.80 × 6,595.02
  4. Step 4: Simplify right side
    6,823.64x = 62,070,976.26
  5. Step 5: Solve for x
    x = 62,070,976.26/6,823.64
  6. Step 6: Final answer
    x = 9,096.46

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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.