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Finding the Fourth Proportional to 7,075.84, 9,761.52 and 4,715.68

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Solution

The fourth proportional to 7,075.84, 9,761.52 and 4,715.68 is: 6,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.84 : 9,761.52 = 4,715.68 : x
  2. Step 2: Convert to fraction form
    7,075.84/9,761.52 = 4,715.68/x
  3. Step 3: Cross multiply
    7,075.84x = 9,761.52 × 4,715.68
  4. Step 4: Simplify right side
    7,075.84x = 46,032,204.63
  5. Step 5: Solve for x
    x = 46,032,204.63/7,075.84
  6. Step 6: Final answer
    x = 6,505.55

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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.