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Finding the Fourth Proportional to 4,602.04, 6,904.20 and 1,315.16

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Solution

The fourth proportional to 4,602.04, 6,904.20 and 1,315.16 is: 1,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.04 : 6,904.20 = 1,315.16 : x
  2. Step 2: Convert to fraction form
    4,602.04/6,904.20 = 1,315.16/x
  3. Step 3: Cross multiply
    4,602.04x = 6,904.20 × 1,315.16
  4. Step 4: Simplify right side
    4,602.04x = 9,080,127.67
  5. Step 5: Solve for x
    x = 9,080,127.67/4,602.04
  6. Step 6: Final answer
    x = 1,973.07

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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.