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Finding the Fourth Proportional to 7,048.88, 9,722.76 and 4,534.17

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Solution

The fourth proportional to 7,048.88, 9,722.76 and 4,534.17 is: 6,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.88 : 9,722.76 = 4,534.17 : x
  2. Step 2: Convert to fraction form
    7,048.88/9,722.76 = 4,534.17/x
  3. Step 3: Cross multiply
    7,048.88x = 9,722.76 × 4,534.17
  4. Step 4: Simplify right side
    7,048.88x = 44,084,646.71
  5. Step 5: Solve for x
    x = 44,084,646.71/7,048.88
  6. Step 6: Final answer
    x = 6,254.14

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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.