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Finding the Fourth Proportional to 7,225.01, 9,970.38 and 4,038.10

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Solution

The fourth proportional to 7,225.01, 9,970.38 and 4,038.10 is: 5,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.01 : 9,970.38 = 4,038.10 : x
  2. Step 2: Convert to fraction form
    7,225.01/9,970.38 = 4,038.10/x
  3. Step 3: Cross multiply
    7,225.01x = 9,970.38 × 4,038.10
  4. Step 4: Simplify right side
    7,225.01x = 40,261,366.55
  5. Step 5: Solve for x
    x = 40,261,366.55/7,225.01
  6. Step 6: Final answer
    x = 5,572.50

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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.