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Finding the Fourth Proportional to 9,657.84, 13,326.20 and 5,465.20

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Solution

The fourth proportional to 9,657.84, 13,326.20 and 5,465.20 is: 7,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.84 : 13,326.20 = 5,465.20 : x
  2. Step 2: Convert to fraction form
    9,657.84/13,326.20 = 5,465.20/x
  3. Step 3: Cross multiply
    9,657.84x = 13,326.20 × 5,465.20
  4. Step 4: Simplify right side
    9,657.84x = 72,830,348.24
  5. Step 5: Solve for x
    x = 72,830,348.24/9,657.84
  6. Step 6: Final answer
    x = 7,541.06

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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.