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Finding the Fourth Proportional to 12,557.61, 18,807.93 and 7,214.04

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Solution

The fourth proportional to 12,557.61, 18,807.93 and 7,214.04 is: 10,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.61 : 18,807.93 = 7,214.04 : x
  2. Step 2: Convert to fraction form
    12,557.61/18,807.93 = 7,214.04/x
  3. Step 3: Cross multiply
    12,557.61x = 18,807.93 × 7,214.04
  4. Step 4: Simplify right side
    12,557.61x = 135,681,159.34
  5. Step 5: Solve for x
    x = 135,681,159.34/12,557.61
  6. Step 6: Final answer
    x = 10,804.70

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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.