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Finding the Fourth Proportional to 15,312.25, 22,973.84 and 7,526.53

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Solution

The fourth proportional to 15,312.25, 22,973.84 and 7,526.53 is: 11,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.25 : 22,973.84 = 7,526.53 : x
  2. Step 2: Convert to fraction form
    15,312.25/22,973.84 = 7,526.53/x
  3. Step 3: Cross multiply
    15,312.25x = 22,973.84 × 7,526.53
  4. Step 4: Simplify right side
    15,312.25x = 172,913,295.98
  5. Step 5: Solve for x
    x = 172,913,295.98/15,312.25
  6. Step 6: Final answer
    x = 11,292.48

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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.