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Finding the Fourth Proportional to 9,646.76, 13,308.72 and 6,292.46

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Solution

The fourth proportional to 9,646.76, 13,308.72 and 6,292.46 is: 8,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.76 : 13,308.72 = 6,292.46 : x
  2. Step 2: Convert to fraction form
    9,646.76/13,308.72 = 6,292.46/x
  3. Step 3: Cross multiply
    9,646.76x = 13,308.72 × 6,292.46
  4. Step 4: Simplify right side
    9,646.76x = 83,744,588.25
  5. Step 5: Solve for x
    x = 83,744,588.25/9,646.76
  6. Step 6: Final answer
    x = 8,681.11

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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.