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Finding the Fourth Proportional to 7,710.46, 10,649.93 and 5,582.62

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Solution

The fourth proportional to 7,710.46, 10,649.93 and 5,582.62 is: 7,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.46 : 10,649.93 = 5,582.62 : x
  2. Step 2: Convert to fraction form
    7,710.46/10,649.93 = 5,582.62/x
  3. Step 3: Cross multiply
    7,710.46x = 10,649.93 × 5,582.62
  4. Step 4: Simplify right side
    7,710.46x = 59,454,512.22
  5. Step 5: Solve for x
    x = 59,454,512.22/7,710.46
  6. Step 6: Final answer
    x = 7,710.89

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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.