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Finding the Fourth Proportional to 7,695.57, 11,482.95 and 7,225.35

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Solution

The fourth proportional to 7,695.57, 11,482.95 and 7,225.35 is: 10,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.57 : 11,482.95 = 7,225.35 : x
  2. Step 2: Convert to fraction form
    7,695.57/11,482.95 = 7,225.35/x
  3. Step 3: Cross multiply
    7,695.57x = 11,482.95 × 7,225.35
  4. Step 4: Simplify right side
    7,695.57x = 82,968,332.78
  5. Step 5: Solve for x
    x = 82,968,332.78/7,695.57
  6. Step 6: Final answer
    x = 10,781.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.