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Finding the Fourth Proportional to 7,152.48, 9,870.20 and 4,008.66

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Solution

The fourth proportional to 7,152.48, 9,870.20 and 4,008.66 is: 5,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.48 : 9,870.20 = 4,008.66 : x
  2. Step 2: Convert to fraction form
    7,152.48/9,870.20 = 4,008.66/x
  3. Step 3: Cross multiply
    7,152.48x = 9,870.20 × 4,008.66
  4. Step 4: Simplify right side
    7,152.48x = 39,566,339.74
  5. Step 5: Solve for x
    x = 39,566,339.74/7,152.48
  6. Step 6: Final answer
    x = 5,531.84

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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.