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Finding the Fourth Proportional to 10,547.88, 15,823.02 and 4,703.76

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Solution

The fourth proportional to 10,547.88, 15,823.02 and 4,703.76 is: 7,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.88 : 15,823.02 = 4,703.76 : x
  2. Step 2: Convert to fraction form
    10,547.88/15,823.02 = 4,703.76/x
  3. Step 3: Cross multiply
    10,547.88x = 15,823.02 × 4,703.76
  4. Step 4: Simplify right side
    10,547.88x = 74,427,688.56
  5. Step 5: Solve for x
    x = 74,427,688.56/10,547.88
  6. Step 6: Final answer
    x = 7,056.18

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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.