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Finding the Fourth Proportional to 3,315.40, 4,973.76 and 975.46

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Solution

The fourth proportional to 3,315.40, 4,973.76 and 975.46 is: 1,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.40 : 4,973.76 = 975.46 : x
  2. Step 2: Convert to fraction form
    3,315.40/4,973.76 = 975.46/x
  3. Step 3: Cross multiply
    3,315.40x = 4,973.76 × 975.46
  4. Step 4: Simplify right side
    3,315.40x = 4,851,703.93
  5. Step 5: Solve for x
    x = 4,851,703.93/3,315.40
  6. Step 6: Final answer
    x = 1,463.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.